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Finding the Fourth Proportional to 10,241.70, 15,348.12 and 8,152.41

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Solution

The fourth proportional to 10,241.70, 15,348.12 and 8,152.41 is: 12,217.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,241.70 : 15,348.12 = 8,152.41 : x
  2. Step 2: Convert to fraction form
    10,241.70/15,348.12 = 8,152.41/x
  3. Step 3: Cross multiply
    10,241.70x = 15,348.12 × 8,152.41
  4. Step 4: Simplify right side
    10,241.70x = 125,124,166.97
  5. Step 5: Solve for x
    x = 125,124,166.97/10,241.70
  6. Step 6: Final answer
    x = 12,217.13

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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.