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Finding the Fourth Proportional to 9,505.95, 13,116.11 and 5,967.87

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Solution

The fourth proportional to 9,505.95, 13,116.11 and 5,967.87 is: 8,234.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,505.95 : 13,116.11 = 5,967.87 : x
  2. Step 2: Convert to fraction form
    9,505.95/13,116.11 = 5,967.87/x
  3. Step 3: Cross multiply
    9,505.95x = 13,116.11 × 5,967.87
  4. Step 4: Simplify right side
    9,505.95x = 78,275,209.55
  5. Step 5: Solve for x
    x = 78,275,209.55/9,505.95
  6. Step 6: Final answer
    x = 8,234.34

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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.