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Finding the Fourth Proportional to 7,534.70, 10,397.62 and 4,550.26

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Solution

The fourth proportional to 7,534.70, 10,397.62 and 4,550.26 is: 6,279.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,534.70 : 10,397.62 = 4,550.26 : x
  2. Step 2: Convert to fraction form
    7,534.70/10,397.62 = 4,550.26/x
  3. Step 3: Cross multiply
    7,534.70x = 10,397.62 × 4,550.26
  4. Step 4: Simplify right side
    7,534.70x = 47,311,874.38
  5. Step 5: Solve for x
    x = 47,311,874.38/7,534.70
  6. Step 6: Final answer
    x = 6,279.20

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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.