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Finding the Fourth Proportional to 11,505.88, 15,877.22 and 6,469.16

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Solution

The fourth proportional to 11,505.88, 15,877.22 and 6,469.16 is: 8,926.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,505.88 : 15,877.22 = 6,469.16 : x
  2. Step 2: Convert to fraction form
    11,505.88/15,877.22 = 6,469.16/x
  3. Step 3: Cross multiply
    11,505.88x = 15,877.22 × 6,469.16
  4. Step 4: Simplify right side
    11,505.88x = 102,712,276.54
  5. Step 5: Solve for x
    x = 102,712,276.54/11,505.88
  6. Step 6: Final answer
    x = 8,926.94

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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.