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Finding the Fourth Proportional to 6,565.79, 9,860.43 and 6,301.53

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Solution

The fourth proportional to 6,565.79, 9,860.43 and 6,301.53 is: 9,463.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565.79 : 9,860.43 = 6,301.53 : x
  2. Step 2: Convert to fraction form
    6,565.79/9,860.43 = 6,301.53/x
  3. Step 3: Cross multiply
    6,565.79x = 9,860.43 × 6,301.53
  4. Step 4: Simplify right side
    6,565.79x = 62,135,795.46
  5. Step 5: Solve for x
    x = 62,135,795.46/6,565.79
  6. Step 6: Final answer
    x = 9,463.57

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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.