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Finding the Fourth Proportional to 6,874.27, 9,486.57 and 3,730.48

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Solution

The fourth proportional to 6,874.27, 9,486.57 and 3,730.48 is: 5,148.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,874.27 : 9,486.57 = 3,730.48 : x
  2. Step 2: Convert to fraction form
    6,874.27/9,486.57 = 3,730.48/x
  3. Step 3: Cross multiply
    6,874.27x = 9,486.57 × 3,730.48
  4. Step 4: Simplify right side
    6,874.27x = 35,389,459.65
  5. Step 5: Solve for x
    x = 35,389,459.65/6,874.27
  6. Step 6: Final answer
    x = 5,148.10

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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.