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Finding the Fourth Proportional to 6,876.91, 9,486.52 and 4,354.57

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Solution

The fourth proportional to 6,876.91, 9,486.52 and 4,354.57 is: 6,007.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876.91 : 9,486.52 = 4,354.57 : x
  2. Step 2: Convert to fraction form
    6,876.91/9,486.52 = 4,354.57/x
  3. Step 3: Cross multiply
    6,876.91x = 9,486.52 × 4,354.57
  4. Step 4: Simplify right side
    6,876.91x = 41,309,716.37
  5. Step 5: Solve for x
    x = 41,309,716.37/6,876.91
  6. Step 6: Final answer
    x = 6,007.02

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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.