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Finding the Fourth Proportional to 6,565.38, 9,061.70 and 4,174.89

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Solution

The fourth proportional to 6,565.38, 9,061.70 and 4,174.89 is: 5,762.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565.38 : 9,061.70 = 4,174.89 : x
  2. Step 2: Convert to fraction form
    6,565.38/9,061.70 = 4,174.89/x
  3. Step 3: Cross multiply
    6,565.38x = 9,061.70 × 4,174.89
  4. Step 4: Simplify right side
    6,565.38x = 37,831,579.84
  5. Step 5: Solve for x
    x = 37,831,579.84/6,565.38
  6. Step 6: Final answer
    x = 5,762.28

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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.