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Finding the Fourth Proportional to 4,891.82, 6,746.22 and 3,675.69

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Solution

The fourth proportional to 4,891.82, 6,746.22 and 3,675.69 is: 5,069.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,891.82 : 6,746.22 = 3,675.69 : x
  2. Step 2: Convert to fraction form
    4,891.82/6,746.22 = 3,675.69/x
  3. Step 3: Cross multiply
    4,891.82x = 6,746.22 × 3,675.69
  4. Step 4: Simplify right side
    4,891.82x = 24,797,013.39
  5. Step 5: Solve for x
    x = 24,797,013.39/4,891.82
  6. Step 6: Final answer
    x = 5,069.08

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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.