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Finding the Fourth Proportional to 6,737.30, 10,102.35 and 2,837.30

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Solution

The fourth proportional to 6,737.30, 10,102.35 and 2,837.30 is: 4,254.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,737.30 : 10,102.35 = 2,837.30 : x
  2. Step 2: Convert to fraction form
    6,737.30/10,102.35 = 2,837.30/x
  3. Step 3: Cross multiply
    6,737.30x = 10,102.35 × 2,837.30
  4. Step 4: Simplify right side
    6,737.30x = 28,663,397.66
  5. Step 5: Solve for x
    x = 28,663,397.66/6,737.30
  6. Step 6: Final answer
    x = 4,254.43

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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.