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Finding the Fourth Proportional to 8,948.50, 13,422.63 and 3,024.13

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Solution

The fourth proportional to 8,948.50, 13,422.63 and 3,024.13 is: 4,536.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,948.50 : 13,422.63 = 3,024.13 : x
  2. Step 2: Convert to fraction form
    8,948.50/13,422.63 = 3,024.13/x
  3. Step 3: Cross multiply
    8,948.50x = 13,422.63 × 3,024.13
  4. Step 4: Simplify right side
    8,948.50x = 40,591,708.91
  5. Step 5: Solve for x
    x = 40,591,708.91/8,948.50
  6. Step 6: Final answer
    x = 4,536.14

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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.