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Finding the Fourth Proportional to 7,072.48, 9,744.49 and 5,272.30

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Solution

The fourth proportional to 7,072.48, 9,744.49 and 5,272.30 is: 7,264.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,072.48 : 9,744.49 = 5,272.30 : x
  2. Step 2: Convert to fraction form
    7,072.48/9,744.49 = 5,272.30/x
  3. Step 3: Cross multiply
    7,072.48x = 9,744.49 × 5,272.30
  4. Step 4: Simplify right side
    7,072.48x = 51,375,874.63
  5. Step 5: Solve for x
    x = 51,375,874.63/7,072.48
  6. Step 6: Final answer
    x = 7,264.20

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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.