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Finding the Fourth Proportional to 6,737.40, 10,104.30 and 2,057.40

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Solution

The fourth proportional to 6,737.40, 10,104.30 and 2,057.40 is: 3,085.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,737.40 : 10,104.30 = 2,057.40 : x
  2. Step 2: Convert to fraction form
    6,737.40/10,104.30 = 2,057.40/x
  3. Step 3: Cross multiply
    6,737.40x = 10,104.30 × 2,057.40
  4. Step 4: Simplify right side
    6,737.40x = 20,788,586.82
  5. Step 5: Solve for x
    x = 20,788,586.82/6,737.40
  6. Step 6: Final answer
    x = 3,085.55

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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.