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Finding the Fourth Proportional to 9,742.92, 14,613.02 and 3,169.16

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Solution

The fourth proportional to 9,742.92, 14,613.02 and 3,169.16 is: 4,753.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,742.92 : 14,613.02 = 3,169.16 : x
  2. Step 2: Convert to fraction form
    9,742.92/14,613.02 = 3,169.16/x
  3. Step 3: Cross multiply
    9,742.92x = 14,613.02 × 3,169.16
  4. Step 4: Simplify right side
    9,742.92x = 46,310,998.46
  5. Step 5: Solve for x
    x = 46,310,998.46/9,742.92
  6. Step 6: Final answer
    x = 4,753.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.