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Finding the Fourth Proportional to 6,670.64, 9,202.80 and 4,311.92

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Solution

The fourth proportional to 6,670.64, 9,202.80 and 4,311.92 is: 5,948.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,670.64 : 9,202.80 = 4,311.92 : x
  2. Step 2: Convert to fraction form
    6,670.64/9,202.80 = 4,311.92/x
  3. Step 3: Cross multiply
    6,670.64x = 9,202.80 × 4,311.92
  4. Step 4: Simplify right side
    6,670.64x = 39,681,737.38
  5. Step 5: Solve for x
    x = 39,681,737.38/6,670.64
  6. Step 6: Final answer
    x = 5,948.72

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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.