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Finding the Fourth Proportional to 6,876.16, 9,489.10 and 3,732.34

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Solution

The fourth proportional to 6,876.16, 9,489.10 and 3,732.34 is: 5,150.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876.16 : 9,489.10 = 3,732.34 : x
  2. Step 2: Convert to fraction form
    6,876.16/9,489.10 = 3,732.34/x
  3. Step 3: Cross multiply
    6,876.16x = 9,489.10 × 3,732.34
  4. Step 4: Simplify right side
    6,876.16x = 35,416,547.49
  5. Step 5: Solve for x
    x = 35,416,547.49/6,876.16
  6. Step 6: Final answer
    x = 5,150.63

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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.