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Finding the Fourth Proportional to 7,646.33, 10,536.12 and 6,148.23

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Solution

The fourth proportional to 7,646.33, 10,536.12 and 6,148.23 is: 8,471.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,646.33 : 10,536.12 = 6,148.23 : x
  2. Step 2: Convert to fraction form
    7,646.33/10,536.12 = 6,148.23/x
  3. Step 3: Cross multiply
    7,646.33x = 10,536.12 × 6,148.23
  4. Step 4: Simplify right side
    7,646.33x = 64,778,489.07
  5. Step 5: Solve for x
    x = 64,778,489.07/7,646.33
  6. Step 6: Final answer
    x = 8,471.84

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Half scale
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Double scale
Find fourth proportional to 7,647.33, 10,537.50 and 6,149.23
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.