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Finding the Fourth Proportional to 21,000.10, 31,500.15 and 7,149.10

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Solution

The fourth proportional to 21,000.10, 31,500.15 and 7,149.10 is: 10,723.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,000.10 : 31,500.15 = 7,149.10 : x
  2. Step 2: Convert to fraction form
    21,000.10/31,500.15 = 7,149.10/x
  3. Step 3: Cross multiply
    21,000.10x = 31,500.15 × 7,149.10
  4. Step 4: Simplify right side
    21,000.10x = 225,197,722.37
  5. Step 5: Solve for x
    x = 225,197,722.37/21,000.10
  6. Step 6: Final answer
    x = 10,723.65

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Double scale
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Similar ratio
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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.