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Finding the Fourth Proportional to 8,493.84, 11,711.28 and 5,900.16

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Solution

The fourth proportional to 8,493.84, 11,711.28 and 5,900.16 is: 8,135.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,493.84 : 11,711.28 = 5,900.16 : x
  2. Step 2: Convert to fraction form
    8,493.84/11,711.28 = 5,900.16/x
  3. Step 3: Cross multiply
    8,493.84x = 11,711.28 × 5,900.16
  4. Step 4: Simplify right side
    8,493.84x = 69,098,425.80
  5. Step 5: Solve for x
    x = 69,098,425.80/8,493.84
  6. Step 6: Final answer
    x = 8,135.12

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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.