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Finding the Fourth Proportional to 17,729.64, 26,542.98 and 10,311.48

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Solution

The fourth proportional to 17,729.64, 26,542.98 and 10,311.48 is: 15,437.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,729.64 : 26,542.98 = 10,311.48 : x
  2. Step 2: Convert to fraction form
    17,729.64/26,542.98 = 10,311.48/x
  3. Step 3: Cross multiply
    17,729.64x = 26,542.98 × 10,311.48
  4. Step 4: Simplify right side
    17,729.64x = 273,697,407.41
  5. Step 5: Solve for x
    x = 273,697,407.41/17,729.64
  6. Step 6: Final answer
    x = 15,437.28

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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.