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Finding the Fourth Proportional to 8,593.76, 12,864.70 and 7,772.42

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Solution

The fourth proportional to 8,593.76, 12,864.70 and 7,772.42 is: 11,635.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,593.76 : 12,864.70 = 7,772.42 : x
  2. Step 2: Convert to fraction form
    8,593.76/12,864.70 = 7,772.42/x
  3. Step 3: Cross multiply
    8,593.76x = 12,864.70 × 7,772.42
  4. Step 4: Simplify right side
    8,593.76x = 99,989,851.57
  5. Step 5: Solve for x
    x = 99,989,851.57/8,593.76
  6. Step 6: Final answer
    x = 11,635.17

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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.