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Finding the Fourth Proportional to 9,877.88, 13,631.82 and 6,523.64

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Solution

The fourth proportional to 9,877.88, 13,631.82 and 6,523.64 is: 9,002.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,877.88 : 13,631.82 = 6,523.64 : x
  2. Step 2: Convert to fraction form
    9,877.88/13,631.82 = 6,523.64/x
  3. Step 3: Cross multiply
    9,877.88x = 13,631.82 × 6,523.64
  4. Step 4: Simplify right side
    9,877.88x = 88,929,086.22
  5. Step 5: Solve for x
    x = 88,929,086.22/9,877.88
  6. Step 6: Final answer
    x = 9,002.85

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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.