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Finding the Fourth Proportional to 6,077.97, 8,382.02 and 3,835.96

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Solution

The fourth proportional to 6,077.97, 8,382.02 and 3,835.96 is: 5,290.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,077.97 : 8,382.02 = 3,835.96 : x
  2. Step 2: Convert to fraction form
    6,077.97/8,382.02 = 3,835.96/x
  3. Step 3: Cross multiply
    6,077.97x = 8,382.02 × 3,835.96
  4. Step 4: Simplify right side
    6,077.97x = 32,153,053.30
  5. Step 5: Solve for x
    x = 32,153,053.30/6,077.97
  6. Step 6: Final answer
    x = 5,290.10

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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.