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Finding the Fourth Proportional to 17,747.91, 24,492.12 and 9,790.14

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Solution

The fourth proportional to 17,747.91, 24,492.12 and 9,790.14 is: 13,510.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,747.91 : 24,492.12 = 9,790.14 : x
  2. Step 2: Convert to fraction form
    17,747.91/24,492.12 = 9,790.14/x
  3. Step 3: Cross multiply
    17,747.91x = 24,492.12 × 9,790.14
  4. Step 4: Simplify right side
    17,747.91x = 239,781,283.70
  5. Step 5: Solve for x
    x = 239,781,283.70/17,747.91
  6. Step 6: Final answer
    x = 13,510.40

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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.