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Finding the Fourth Proportional to 8,348.54, 12,523.17 and 4,647.97

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Solution

The fourth proportional to 8,348.54, 12,523.17 and 4,647.97 is: 6,972.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,348.54 : 12,523.17 = 4,647.97 : x
  2. Step 2: Convert to fraction form
    8,348.54/12,523.17 = 4,647.97/x
  3. Step 3: Cross multiply
    8,348.54x = 12,523.17 × 4,647.97
  4. Step 4: Simplify right side
    8,348.54x = 58,207,351.55
  5. Step 5: Solve for x
    x = 58,207,351.55/8,348.54
  6. Step 6: Final answer
    x = 6,972.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.