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Finding the Fourth Proportional to 6,732.44, 9,290.54 and 3,748.17

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Solution

The fourth proportional to 6,732.44, 9,290.54 and 3,748.17 is: 5,172.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,732.44 : 9,290.54 = 3,748.17 : x
  2. Step 2: Convert to fraction form
    6,732.44/9,290.54 = 3,748.17/x
  3. Step 3: Cross multiply
    6,732.44x = 9,290.54 × 3,748.17
  4. Step 4: Simplify right side
    6,732.44x = 34,822,504.57
  5. Step 5: Solve for x
    x = 34,822,504.57/6,732.44
  6. Step 6: Final answer
    x = 5,172.35

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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.