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Finding the Fourth Proportional to 9,311.77, 13,959.80 and 4,042.80

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Solution

The fourth proportional to 9,311.77, 13,959.80 and 4,042.80 is: 6,060.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,311.77 : 13,959.80 = 4,042.80 : x
  2. Step 2: Convert to fraction form
    9,311.77/13,959.80 = 4,042.80/x
  3. Step 3: Cross multiply
    9,311.77x = 13,959.80 × 4,042.80
  4. Step 4: Simplify right side
    9,311.77x = 56,436,679.44
  5. Step 5: Solve for x
    x = 56,436,679.44/9,311.77
  6. Step 6: Final answer
    x = 6,060.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.