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Finding the Fourth Proportional to 8,172.19, 11,204.12 and 8,024.57

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Solution

The fourth proportional to 8,172.19, 11,204.12 and 8,024.57 is: 11,001.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,172.19 : 11,204.12 = 8,024.57 : x
  2. Step 2: Convert to fraction form
    8,172.19/11,204.12 = 8,024.57/x
  3. Step 3: Cross multiply
    8,172.19x = 11,204.12 × 8,024.57
  4. Step 4: Simplify right side
    8,172.19x = 89,908,251.28
  5. Step 5: Solve for x
    x = 89,908,251.28/8,172.19
  6. Step 6: Final answer
    x = 11,001.73

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.