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Finding the Fourth Proportional to 8,694.75, 13,042.13 and 4,077.75

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Solution

The fourth proportional to 8,694.75, 13,042.13 and 4,077.75 is: 6,116.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,694.75 : 13,042.13 = 4,077.75 : x
  2. Step 2: Convert to fraction form
    8,694.75/13,042.13 = 4,077.75/x
  3. Step 3: Cross multiply
    8,694.75x = 13,042.13 × 4,077.75
  4. Step 4: Simplify right side
    8,694.75x = 53,182,525.22
  5. Step 5: Solve for x
    x = 53,182,525.22/8,694.75
  6. Step 6: Final answer
    x = 6,116.63

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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.