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Finding the Fourth Proportional to 7,876.98, 10,869.84 and 5,082.48

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Solution

The fourth proportional to 7,876.98, 10,869.84 and 5,082.48 is: 7,013.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.98 : 10,869.84 = 5,082.48 : x
  2. Step 2: Convert to fraction form
    7,876.98/10,869.84 = 5,082.48/x
  3. Step 3: Cross multiply
    7,876.98x = 10,869.84 × 5,082.48
  4. Step 4: Simplify right side
    7,876.98x = 55,245,744.40
  5. Step 5: Solve for x
    x = 55,245,744.40/7,876.98
  6. Step 6: Final answer
    x = 7,013.57

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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.