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Finding the Fourth Proportional to 6,082.48, 9,116.70 and 3,156.76

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Solution

The fourth proportional to 6,082.48, 9,116.70 and 3,156.76 is: 4,731.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,082.48 : 9,116.70 = 3,156.76 : x
  2. Step 2: Convert to fraction form
    6,082.48/9,116.70 = 3,156.76/x
  3. Step 3: Cross multiply
    6,082.48x = 9,116.70 × 3,156.76
  4. Step 4: Simplify right side
    6,082.48x = 28,779,233.89
  5. Step 5: Solve for x
    x = 28,779,233.89/6,082.48
  6. Step 6: Final answer
    x = 4,731.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.