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Finding the Fourth Proportional to 10,073.80, 15,110.70 and 8,000.20

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Solution

The fourth proportional to 10,073.80, 15,110.70 and 8,000.20 is: 12,000.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,073.80 : 15,110.70 = 8,000.20 : x
  2. Step 2: Convert to fraction form
    10,073.80/15,110.70 = 8,000.20/x
  3. Step 3: Cross multiply
    10,073.80x = 15,110.70 × 8,000.20
  4. Step 4: Simplify right side
    10,073.80x = 120,888,622.14
  5. Step 5: Solve for x
    x = 120,888,622.14/10,073.80
  6. Step 6: Final answer
    x = 12,000.30

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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.