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Finding the Fourth Proportional to 10,613.92, 15,842.96 and 9,832

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Solution

The fourth proportional to 10,613.92, 15,842.96 and 9,832 is: 14,675.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,613.92 : 15,842.96 = 9,832 : x
  2. Step 2: Convert to fraction form
    10,613.92/15,842.96 = 9,832/x
  3. Step 3: Cross multiply
    10,613.92x = 15,842.96 × 9,832
  4. Step 4: Simplify right side
    10,613.92x = 155,767,982.72
  5. Step 5: Solve for x
    x = 155,767,982.72/10,613.92
  6. Step 6: Final answer
    x = 14,675.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.