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Finding the Fourth Proportional to 9,859.77, 14,766.08 and 5,687.13

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Solution

The fourth proportional to 9,859.77, 14,766.08 and 5,687.13 is: 8,517.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,859.77 : 14,766.08 = 5,687.13 : x
  2. Step 2: Convert to fraction form
    9,859.77/14,766.08 = 5,687.13/x
  3. Step 3: Cross multiply
    9,859.77x = 14,766.08 × 5,687.13
  4. Step 4: Simplify right side
    9,859.77x = 83,976,616.55
  5. Step 5: Solve for x
    x = 83,976,616.55/9,859.77
  6. Step 6: Final answer
    x = 8,517.10

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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.