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Finding the Fourth Proportional to 9,884.97, 13,642.50 and 6,484.86

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Solution

The fourth proportional to 9,884.97, 13,642.50 and 6,484.86 is: 8,949.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884.97 : 13,642.50 = 6,484.86 : x
  2. Step 2: Convert to fraction form
    9,884.97/13,642.50 = 6,484.86/x
  3. Step 3: Cross multiply
    9,884.97x = 13,642.50 × 6,484.86
  4. Step 4: Simplify right side
    9,884.97x = 88,469,702.55
  5. Step 5: Solve for x
    x = 88,469,702.55/9,884.97
  6. Step 6: Final answer
    x = 8,949.92

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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.