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Finding the Fourth Proportional to 6,737.65, 10,111.74 and 4,672.20

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Solution

The fourth proportional to 6,737.65, 10,111.74 and 4,672.20 is: 7,011.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,737.65 : 10,111.74 = 4,672.20 : x
  2. Step 2: Convert to fraction form
    6,737.65/10,111.74 = 4,672.20/x
  3. Step 3: Cross multiply
    6,737.65x = 10,111.74 × 4,672.20
  4. Step 4: Simplify right side
    6,737.65x = 47,244,092.03
  5. Step 5: Solve for x
    x = 47,244,092.03/6,737.65
  6. Step 6: Final answer
    x = 7,011.96

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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.