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Finding the Fourth Proportional to 11,498, 15,867.26 and 6,530

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Solution

The fourth proportional to 11,498, 15,867.26 and 6,530 is: 9,011.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,498 : 15,867.26 = 6,530 : x
  2. Step 2: Convert to fraction form
    11,498/15,867.26 = 6,530/x
  3. Step 3: Cross multiply
    11,498x = 15,867.26 × 6,530
  4. Step 4: Simplify right side
    11,498x = 103,613,207.80
  5. Step 5: Solve for x
    x = 103,613,207.80/11,498
  6. Step 6: Final answer
    x = 9,011.41

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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.