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Finding the Fourth Proportional to 11,506.50, 15,883.11 and 8,978.49

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Solution

The fourth proportional to 11,506.50, 15,883.11 and 8,978.49 is: 12,393.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,506.50 : 15,883.11 = 8,978.49 : x
  2. Step 2: Convert to fraction form
    11,506.50/15,883.11 = 8,978.49/x
  3. Step 3: Cross multiply
    11,506.50x = 15,883.11 × 8,978.49
  4. Step 4: Simplify right side
    11,506.50x = 142,606,344.30
  5. Step 5: Solve for x
    x = 142,606,344.30/11,506.50
  6. Step 6: Final answer
    x = 12,393.55

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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.