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Finding the Fourth Proportional to 6,876.75, 9,492.38 and 4,082.25

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Solution

The fourth proportional to 6,876.75, 9,492.38 and 4,082.25 is: 5,634.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876.75 : 9,492.38 = 4,082.25 : x
  2. Step 2: Convert to fraction form
    6,876.75/9,492.38 = 4,082.25/x
  3. Step 3: Cross multiply
    6,876.75x = 9,492.38 × 4,082.25
  4. Step 4: Simplify right side
    6,876.75x = 38,750,247.84
  5. Step 5: Solve for x
    x = 38,750,247.84/6,876.75
  6. Step 6: Final answer
    x = 5,634.97

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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.