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Finding the Fourth Proportional to 9,943.01, 14,909.19 and 5,251.14

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Solution

The fourth proportional to 9,943.01, 14,909.19 and 5,251.14 is: 7,873.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,943.01 : 14,909.19 = 5,251.14 : x
  2. Step 2: Convert to fraction form
    9,943.01/14,909.19 = 5,251.14/x
  3. Step 3: Cross multiply
    9,943.01x = 14,909.19 × 5,251.14
  4. Step 4: Simplify right side
    9,943.01x = 78,290,243.98
  5. Step 5: Solve for x
    x = 78,290,243.98/9,943.01
  6. Step 6: Final answer
    x = 7,873.90

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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.