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Finding the Fourth Proportional to 6,565.75, 9,837.66 and 4,614.46

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Solution

The fourth proportional to 6,565.75, 9,837.66 and 4,614.46 is: 6,913.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565.75 : 9,837.66 = 4,614.46 : x
  2. Step 2: Convert to fraction form
    6,565.75/9,837.66 = 4,614.46/x
  3. Step 3: Cross multiply
    6,565.75x = 9,837.66 × 4,614.46
  4. Step 4: Simplify right side
    6,565.75x = 45,395,488.56
  5. Step 5: Solve for x
    x = 45,395,488.56/6,565.75
  6. Step 6: Final answer
    x = 6,913.98

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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.