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Finding the Fourth Proportional to 8,463.87, 11,684.13 and 5,635.95

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Solution

The fourth proportional to 8,463.87, 11,684.13 and 5,635.95 is: 7,780.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,463.87 : 11,684.13 = 5,635.95 : x
  2. Step 2: Convert to fraction form
    8,463.87/11,684.13 = 5,635.95/x
  3. Step 3: Cross multiply
    8,463.87x = 11,684.13 × 5,635.95
  4. Step 4: Simplify right side
    8,463.87x = 65,851,172.47
  5. Step 5: Solve for x
    x = 65,851,172.47/8,463.87
  6. Step 6: Final answer
    x = 7,780.27

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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.