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Finding the Fourth Proportional to 9,082.88, 13,613.28 and 4,698

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Solution

The fourth proportional to 9,082.88, 13,613.28 and 4,698 is: 7,041.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,082.88 : 13,613.28 = 4,698 : x
  2. Step 2: Convert to fraction form
    9,082.88/13,613.28 = 4,698/x
  3. Step 3: Cross multiply
    9,082.88x = 13,613.28 × 4,698
  4. Step 4: Simplify right side
    9,082.88x = 63,955,189.44
  5. Step 5: Solve for x
    x = 63,955,189.44/9,082.88
  6. Step 6: Final answer
    x = 7,041.29

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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.