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Finding the Fourth Proportional to 7,758.43, 11,633.25 and 7,097.20

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Solution

The fourth proportional to 7,758.43, 11,633.25 and 7,097.20 is: 10,641.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.43 : 11,633.25 = 7,097.20 : x
  2. Step 2: Convert to fraction form
    7,758.43/11,633.25 = 7,097.20/x
  3. Step 3: Cross multiply
    7,758.43x = 11,633.25 × 7,097.20
  4. Step 4: Simplify right side
    7,758.43x = 82,563,472.82
  5. Step 5: Solve for x
    x = 82,563,472.82/7,758.43
  6. Step 6: Final answer
    x = 10,641.78

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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.