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Finding the Fourth Proportional to 6,565.41, 9,063.90 and 5,040.63

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Solution

The fourth proportional to 6,565.41, 9,063.90 and 5,040.63 is: 6,958.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565.41 : 9,063.90 = 5,040.63 : x
  2. Step 2: Convert to fraction form
    6,565.41/9,063.90 = 5,040.63/x
  3. Step 3: Cross multiply
    6,565.41x = 9,063.90 × 5,040.63
  4. Step 4: Simplify right side
    6,565.41x = 45,687,766.26
  5. Step 5: Solve for x
    x = 45,687,766.26/6,565.41
  6. Step 6: Final answer
    x = 6,958.86

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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.