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Finding the Fourth Proportional to 9,148.92, 12,614.04 and 7,468.62

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Solution

The fourth proportional to 9,148.92, 12,614.04 and 7,468.62 is: 10,297.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,148.92 : 12,614.04 = 7,468.62 : x
  2. Step 2: Convert to fraction form
    9,148.92/12,614.04 = 7,468.62/x
  3. Step 3: Cross multiply
    9,148.92x = 12,614.04 × 7,468.62
  4. Step 4: Simplify right side
    9,148.92x = 94,209,471.42
  5. Step 5: Solve for x
    x = 94,209,471.42/9,148.92
  6. Step 6: Final answer
    x = 10,297.33

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Half scale
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Double scale
Find fourth proportional to 9,149.92, 12,615.42 and 7,469.62
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.