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Finding the Fourth Proportional to 6,074.88, 8,386.97 and 3,982.65

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Solution

The fourth proportional to 6,074.88, 8,386.97 and 3,982.65 is: 5,498.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,074.88 : 8,386.97 = 3,982.65 : x
  2. Step 2: Convert to fraction form
    6,074.88/8,386.97 = 3,982.65/x
  3. Step 3: Cross multiply
    6,074.88x = 8,386.97 × 3,982.65
  4. Step 4: Simplify right side
    6,074.88x = 33,402,366.07
  5. Step 5: Solve for x
    x = 33,402,366.07/6,074.88
  6. Step 6: Final answer
    x = 5,498.44

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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.