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Finding the Fourth Proportional to 6,876.23, 9,486.54 and 3,891.38

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Solution

The fourth proportional to 6,876.23, 9,486.54 and 3,891.38 is: 5,368.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876.23 : 9,486.54 = 3,891.38 : x
  2. Step 2: Convert to fraction form
    6,876.23/9,486.54 = 3,891.38/x
  3. Step 3: Cross multiply
    6,876.23x = 9,486.54 × 3,891.38
  4. Step 4: Simplify right side
    6,876.23x = 36,915,732.03
  5. Step 5: Solve for x
    x = 36,915,732.03/6,876.23
  6. Step 6: Final answer
    x = 5,368.60

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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.