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Finding the Fourth Proportional to 6,552.97, 9,824.58 and 5,892.91

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Solution

The fourth proportional to 6,552.97, 9,824.58 and 5,892.91 is: 8,834.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,552.97 : 9,824.58 = 5,892.91 : x
  2. Step 2: Convert to fraction form
    6,552.97/9,824.58 = 5,892.91/x
  3. Step 3: Cross multiply
    6,552.97x = 9,824.58 × 5,892.91
  4. Step 4: Simplify right side
    6,552.97x = 57,895,365.73
  5. Step 5: Solve for x
    x = 57,895,365.73/6,552.97
  6. Step 6: Final answer
    x = 8,834.98

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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.