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Finding the Fourth Proportional to 15,447, 23,174.37 and 7,132.83

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Solution

The fourth proportional to 15,447, 23,174.37 and 7,132.83 is: 10,701.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,447 : 23,174.37 = 7,132.83 : x
  2. Step 2: Convert to fraction form
    15,447/23,174.37 = 7,132.83/x
  3. Step 3: Cross multiply
    15,447x = 23,174.37 × 7,132.83
  4. Step 4: Simplify right side
    15,447x = 165,298,841.57
  5. Step 5: Solve for x
    x = 165,298,841.57/15,447
  6. Step 6: Final answer
    x = 10,701.03

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1.5x scale

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.