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Finding the Fourth Proportional to 8,535.88, 11,773.76 and 7,414.87

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Solution

The fourth proportional to 8,535.88, 11,773.76 and 7,414.87 is: 10,227.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,535.88 : 11,773.76 = 7,414.87 : x
  2. Step 2: Convert to fraction form
    8,535.88/11,773.76 = 7,414.87/x
  3. Step 3: Cross multiply
    8,535.88x = 11,773.76 × 7,414.87
  4. Step 4: Simplify right side
    8,535.88x = 87,300,899.81
  5. Step 5: Solve for x
    x = 87,300,899.81/8,535.88
  6. Step 6: Final answer
    x = 10,227.52

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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.