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Finding the Fourth Proportional to 8,577.54, 11,839.78 and 6,594.66

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Solution

The fourth proportional to 8,577.54, 11,839.78 and 6,594.66 is: 9,102.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,577.54 : 11,839.78 = 6,594.66 : x
  2. Step 2: Convert to fraction form
    8,577.54/11,839.78 = 6,594.66/x
  3. Step 3: Cross multiply
    8,577.54x = 11,839.78 × 6,594.66
  4. Step 4: Simplify right side
    8,577.54x = 78,079,323.57
  5. Step 5: Solve for x
    x = 78,079,323.57/8,577.54
  6. Step 6: Final answer
    x = 9,102.76

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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.