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Finding the Fourth Proportional to 10,458.52, 15,687.79 and 6,565.66

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Solution

The fourth proportional to 10,458.52, 15,687.79 and 6,565.66 is: 9,848.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,458.52 : 15,687.79 = 6,565.66 : x
  2. Step 2: Convert to fraction form
    10,458.52/15,687.79 = 6,565.66/x
  3. Step 3: Cross multiply
    10,458.52x = 15,687.79 × 6,565.66
  4. Step 4: Simplify right side
    10,458.52x = 103,000,698.49
  5. Step 5: Solve for x
    x = 103,000,698.49/10,458.52
  6. Step 6: Final answer
    x = 9,848.50

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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.