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Finding the Fourth Proportional to 15,757.50, 21,745.62 and 10,178.22

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Solution

The fourth proportional to 15,757.50, 21,745.62 and 10,178.22 is: 14,046.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,757.50 : 21,745.62 = 10,178.22 : x
  2. Step 2: Convert to fraction form
    15,757.50/21,745.62 = 10,178.22/x
  3. Step 3: Cross multiply
    15,757.50x = 21,745.62 × 10,178.22
  4. Step 4: Simplify right side
    15,757.50x = 221,331,704.40
  5. Step 5: Solve for x
    x = 221,331,704.40/15,757.50
  6. Step 6: Final answer
    x = 14,046.12

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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.