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Finding the Fourth Proportional to 11,105.88, 15,326.12 and 6,137.88

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Solution

The fourth proportional to 11,105.88, 15,326.12 and 6,137.88 is: 8,470.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,105.88 : 15,326.12 = 6,137.88 : x
  2. Step 2: Convert to fraction form
    11,105.88/15,326.12 = 6,137.88/x
  3. Step 3: Cross multiply
    11,105.88x = 15,326.12 × 6,137.88
  4. Step 4: Simplify right side
    11,105.88x = 94,069,885.43
  5. Step 5: Solve for x
    x = 94,069,885.43/11,105.88
  6. Step 6: Final answer
    x = 8,470.28

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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.