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Finding the Fourth Proportional to 11,069, 15,275.46 and 6,101

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Solution

The fourth proportional to 11,069, 15,275.46 and 6,101 is: 8,419.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,069 : 15,275.46 = 6,101 : x
  2. Step 2: Convert to fraction form
    11,069/15,275.46 = 6,101/x
  3. Step 3: Cross multiply
    11,069x = 15,275.46 × 6,101
  4. Step 4: Simplify right side
    11,069x = 93,195,581.46
  5. Step 5: Solve for x
    x = 93,195,581.46/11,069
  6. Step 6: Final answer
    x = 8,419.51

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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.