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Finding the Fourth Proportional to 6,565.77, 9,062.24 and 3,914.64

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Solution

The fourth proportional to 6,565.77, 9,062.24 and 3,914.64 is: 5,403.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565.77 : 9,062.24 = 3,914.64 : x
  2. Step 2: Convert to fraction form
    6,565.77/9,062.24 = 3,914.64/x
  3. Step 3: Cross multiply
    6,565.77x = 9,062.24 × 3,914.64
  4. Step 4: Simplify right side
    6,565.77x = 35,475,387.62
  5. Step 5: Solve for x
    x = 35,475,387.62/6,565.77
  6. Step 6: Final answer
    x = 5,403.08

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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.