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Finding the Fourth Proportional to 6,687.60, 10,032.80 and 2,007.42

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Solution

The fourth proportional to 6,687.60, 10,032.80 and 2,007.42 is: 3,011.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,687.60 : 10,032.80 = 2,007.42 : x
  2. Step 2: Convert to fraction form
    6,687.60/10,032.80 = 2,007.42/x
  3. Step 3: Cross multiply
    6,687.60x = 10,032.80 × 2,007.42
  4. Step 4: Simplify right side
    6,687.60x = 20,140,033.34
  5. Step 5: Solve for x
    x = 20,140,033.34/6,687.60
  6. Step 6: Final answer
    x = 3,011.55

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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.