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Finding the Fourth Proportional to 8,494.93, 11,677.70 and 7,589.17

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Solution

The fourth proportional to 8,494.93, 11,677.70 and 7,589.17 is: 10,432.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,494.93 : 11,677.70 = 7,589.17 : x
  2. Step 2: Convert to fraction form
    8,494.93/11,677.70 = 7,589.17/x
  3. Step 3: Cross multiply
    8,494.93x = 11,677.70 × 7,589.17
  4. Step 4: Simplify right side
    8,494.93x = 88,624,050.51
  5. Step 5: Solve for x
    x = 88,624,050.51/8,494.93
  6. Step 6: Final answer
    x = 10,432.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.