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Finding the Fourth Proportional to 10,007.82, 15,010.11 and 5,633.82

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Solution

The fourth proportional to 10,007.82, 15,010.11 and 5,633.82 is: 8,449.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,007.82 : 15,010.11 = 5,633.82 : x
  2. Step 2: Convert to fraction form
    10,007.82/15,010.11 = 5,633.82/x
  3. Step 3: Cross multiply
    10,007.82x = 15,010.11 × 5,633.82
  4. Step 4: Simplify right side
    10,007.82x = 84,564,257.92
  5. Step 5: Solve for x
    x = 84,564,257.92/10,007.82
  6. Step 6: Final answer
    x = 8,449.82

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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.