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Finding the Fourth Proportional to 11,589.97, 15,994.02 and 6,284.78

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Solution

The fourth proportional to 11,589.97, 15,994.02 and 6,284.78 is: 8,672.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,589.97 : 15,994.02 = 6,284.78 : x
  2. Step 2: Convert to fraction form
    11,589.97/15,994.02 = 6,284.78/x
  3. Step 3: Cross multiply
    11,589.97x = 15,994.02 × 6,284.78
  4. Step 4: Simplify right side
    11,589.97x = 100,518,897.02
  5. Step 5: Solve for x
    x = 100,518,897.02/11,589.97
  6. Step 6: Final answer
    x = 8,672.92

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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.