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Finding the Fourth Proportional to 6,876.50, 9,492.03 and 4,082

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Solution

The fourth proportional to 6,876.50, 9,492.03 and 4,082 is: 5,634.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876.50 : 9,492.03 = 4,082 : x
  2. Step 2: Convert to fraction form
    6,876.50/9,492.03 = 4,082/x
  3. Step 3: Cross multiply
    6,876.50x = 9,492.03 × 4,082
  4. Step 4: Simplify right side
    6,876.50x = 38,746,466.46
  5. Step 5: Solve for x
    x = 38,746,466.46/6,876.50
  6. Step 6: Final answer
    x = 5,634.62

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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.