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Finding the Fourth Proportional to 6,282, 8,707.80 and 6,177.42

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Solution

The fourth proportional to 6,282, 8,707.80 and 6,177.42 is: 8,562.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,282 : 8,707.80 = 6,177.42 : x
  2. Step 2: Convert to fraction form
    6,282/8,707.80 = 6,177.42/x
  3. Step 3: Cross multiply
    6,282x = 8,707.80 × 6,177.42
  4. Step 4: Simplify right side
    6,282x = 53,791,737.88
  5. Step 5: Solve for x
    x = 53,791,737.88/6,282
  6. Step 6: Final answer
    x = 8,562.84

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.