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Finding the Fourth Proportional to 15,117, 20,864.76 and 8,404.92

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Solution

The fourth proportional to 15,117, 20,864.76 and 8,404.92 is: 11,600.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,117 : 20,864.76 = 8,404.92 : x
  2. Step 2: Convert to fraction form
    15,117/20,864.76 = 8,404.92/x
  3. Step 3: Cross multiply
    15,117x = 20,864.76 × 8,404.92
  4. Step 4: Simplify right side
    15,117x = 175,366,638.62
  5. Step 5: Solve for x
    x = 175,366,638.62/15,117
  6. Step 6: Final answer
    x = 11,600.62

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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.