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Finding the Fourth Proportional to 9,562.57, 13,189.04 and 8,381.59

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Solution

The fourth proportional to 9,562.57, 13,189.04 and 8,381.59 is: 11,560.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,562.57 : 13,189.04 = 8,381.59 : x
  2. Step 2: Convert to fraction form
    9,562.57/13,189.04 = 8,381.59/x
  3. Step 3: Cross multiply
    9,562.57x = 13,189.04 × 8,381.59
  4. Step 4: Simplify right side
    9,562.57x = 110,545,083.87
  5. Step 5: Solve for x
    x = 110,545,083.87/9,562.57
  6. Step 6: Final answer
    x = 11,560.19

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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.