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Finding the Fourth Proportional to 11,473.47, 15,826.68 and 7,217.82

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Solution

The fourth proportional to 11,473.47, 15,826.68 and 7,217.82 is: 9,956.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,473.47 : 15,826.68 = 7,217.82 : x
  2. Step 2: Convert to fraction form
    11,473.47/15,826.68 = 7,217.82/x
  3. Step 3: Cross multiply
    11,473.47x = 15,826.68 × 7,217.82
  4. Step 4: Simplify right side
    11,473.47x = 114,234,127.44
  5. Step 5: Solve for x
    x = 114,234,127.44/11,473.47
  6. Step 6: Final answer
    x = 9,956.37

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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.