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Finding the Fourth Proportional to 12,652.76, 17,469.02 and 11,324.16

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Solution

The fourth proportional to 12,652.76, 17,469.02 and 11,324.16 is: 15,634.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,652.76 : 17,469.02 = 11,324.16 : x
  2. Step 2: Convert to fraction form
    12,652.76/17,469.02 = 11,324.16/x
  3. Step 3: Cross multiply
    12,652.76x = 17,469.02 × 11,324.16
  4. Step 4: Simplify right side
    12,652.76x = 197,821,977.52
  5. Step 5: Solve for x
    x = 197,821,977.52/12,652.76
  6. Step 6: Final answer
    x = 15,634.69

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1.5x scale

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.