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Finding the Fourth Proportional to 9,950.72, 13,731.45 and 5,473.74

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Solution

The fourth proportional to 9,950.72, 13,731.45 and 5,473.74 is: 7,553.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,950.72 : 13,731.45 = 5,473.74 : x
  2. Step 2: Convert to fraction form
    9,950.72/13,731.45 = 5,473.74/x
  3. Step 3: Cross multiply
    9,950.72x = 13,731.45 × 5,473.74
  4. Step 4: Simplify right side
    9,950.72x = 75,162,387.12
  5. Step 5: Solve for x
    x = 75,162,387.12/9,950.72
  6. Step 6: Final answer
    x = 7,553.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.