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Finding the Fourth Proportional to 10,169, 15,255.42 and 4,697

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Solution

The fourth proportional to 10,169, 15,255.42 and 4,697 is: 7,046.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,169 : 15,255.42 = 4,697 : x
  2. Step 2: Convert to fraction form
    10,169/15,255.42 = 4,697/x
  3. Step 3: Cross multiply
    10,169x = 15,255.42 × 4,697
  4. Step 4: Simplify right side
    10,169x = 71,654,707.74
  5. Step 5: Solve for x
    x = 71,654,707.74/10,169
  6. Step 6: Final answer
    x = 7,046.39

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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.