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Finding the Fourth Proportional to 9,149.92, 12,615.42 and 7,469.64

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Solution

The fourth proportional to 9,149.92, 12,615.42 and 7,469.64 is: 10,298.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,149.92 : 12,615.42 = 7,469.64 : x
  2. Step 2: Convert to fraction form
    9,149.92/12,615.42 = 7,469.64/x
  3. Step 3: Cross multiply
    9,149.92x = 12,615.42 × 7,469.64
  4. Step 4: Simplify right side
    9,149.92x = 94,232,645.85
  5. Step 5: Solve for x
    x = 94,232,645.85/9,149.92
  6. Step 6: Final answer
    x = 10,298.74

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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.