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Finding the Fourth Proportional to 6,565.96, 9,062.58 and 3,773.08

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Solution

The fourth proportional to 6,565.96, 9,062.58 and 3,773.08 is: 5,207.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565.96 : 9,062.58 = 3,773.08 : x
  2. Step 2: Convert to fraction form
    6,565.96/9,062.58 = 3,773.08/x
  3. Step 3: Cross multiply
    6,565.96x = 9,062.58 × 3,773.08
  4. Step 4: Simplify right side
    6,565.96x = 34,193,839.35
  5. Step 5: Solve for x
    x = 34,193,839.35/6,565.96
  6. Step 6: Final answer
    x = 5,207.74

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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.