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Finding the Fourth Proportional to 6,874.65, 9,486.99 and 3,730.82

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Solution

The fourth proportional to 6,874.65, 9,486.99 and 3,730.82 is: 5,148.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,874.65 : 9,486.99 = 3,730.82 : x
  2. Step 2: Convert to fraction form
    6,874.65/9,486.99 = 3,730.82/x
  3. Step 3: Cross multiply
    6,874.65x = 9,486.99 × 3,730.82
  4. Step 4: Simplify right side
    6,874.65x = 35,394,204.60
  5. Step 5: Solve for x
    x = 35,394,204.60/6,874.65
  6. Step 6: Final answer
    x = 5,148.51

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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.