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Finding the Fourth Proportional to 6,732.49, 9,290.59 and 3,748.45

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Solution

The fourth proportional to 6,732.49, 9,290.59 and 3,748.45 is: 5,172.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,732.49 : 9,290.59 = 3,748.45 : x
  2. Step 2: Convert to fraction form
    6,732.49/9,290.59 = 3,748.45/x
  3. Step 3: Cross multiply
    6,732.49x = 9,290.59 × 3,748.45
  4. Step 4: Simplify right side
    6,732.49x = 34,825,312.09
  5. Step 5: Solve for x
    x = 34,825,312.09/6,732.49
  6. Step 6: Final answer
    x = 5,172.72

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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.