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Finding the Fourth Proportional to 7,251.76, 10,006.86 and 4,107.16

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Solution

The fourth proportional to 7,251.76, 10,006.86 and 4,107.16 is: 5,667.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,251.76 : 10,006.86 = 4,107.16 : x
  2. Step 2: Convert to fraction form
    7,251.76/10,006.86 = 4,107.16/x
  3. Step 3: Cross multiply
    7,251.76x = 10,006.86 × 4,107.16
  4. Step 4: Simplify right side
    7,251.76x = 41,099,775.12
  5. Step 5: Solve for x
    x = 41,099,775.12/7,251.76
  6. Step 6: Final answer
    x = 5,667.56

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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.