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Finding the Fourth Proportional to 6,565.52, 9,064.14 and 4,551.86

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Solution

The fourth proportional to 6,565.52, 9,064.14 and 4,551.86 is: 6,284.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565.52 : 9,064.14 = 4,551.86 : x
  2. Step 2: Convert to fraction form
    6,565.52/9,064.14 = 4,551.86/x
  3. Step 3: Cross multiply
    6,565.52x = 9,064.14 × 4,551.86
  4. Step 4: Simplify right side
    6,565.52x = 41,258,696.30
  5. Step 5: Solve for x
    x = 41,258,696.30/6,565.52
  6. Step 6: Final answer
    x = 6,284.15

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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.