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Finding the Fourth Proportional to 6,566.52, 9,854.40 and 5,939.12

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Solution

The fourth proportional to 6,566.52, 9,854.40 and 5,939.12 is: 8,912.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,566.52 : 9,854.40 = 5,939.12 : x
  2. Step 2: Convert to fraction form
    6,566.52/9,854.40 = 5,939.12/x
  3. Step 3: Cross multiply
    6,566.52x = 9,854.40 × 5,939.12
  4. Step 4: Simplify right side
    6,566.52x = 58,526,464.13
  5. Step 5: Solve for x
    x = 58,526,464.13/6,566.52
  6. Step 6: Final answer
    x = 8,912.86

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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.