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Finding the Fourth Proportional to 6,734.57, 9,302.03 and 4,753.97

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Solution

The fourth proportional to 6,734.57, 9,302.03 and 4,753.97 is: 6,566.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,734.57 : 9,302.03 = 4,753.97 : x
  2. Step 2: Convert to fraction form
    6,734.57/9,302.03 = 4,753.97/x
  3. Step 3: Cross multiply
    6,734.57x = 9,302.03 × 4,753.97
  4. Step 4: Simplify right side
    6,734.57x = 44,221,553.99
  5. Step 5: Solve for x
    x = 44,221,553.99/6,734.57
  6. Step 6: Final answer
    x = 6,566.36

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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.