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Finding the Fourth Proportional to 6,737.70, 9,298.71 and 3,754.02

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Solution

The fourth proportional to 6,737.70, 9,298.71 and 3,754.02 is: 5,180.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,737.70 : 9,298.71 = 3,754.02 : x
  2. Step 2: Convert to fraction form
    6,737.70/9,298.71 = 3,754.02/x
  3. Step 3: Cross multiply
    6,737.70x = 9,298.71 × 3,754.02
  4. Step 4: Simplify right side
    6,737.70x = 34,907,543.31
  5. Step 5: Solve for x
    x = 34,907,543.31/6,737.70
  6. Step 6: Final answer
    x = 5,180.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.