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Finding the Fourth Proportional to 13,937.62, 19,234.12 and 7,650.14

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Solution

The fourth proportional to 13,937.62, 19,234.12 and 7,650.14 is: 10,557.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,937.62 : 19,234.12 = 7,650.14 : x
  2. Step 2: Convert to fraction form
    13,937.62/19,234.12 = 7,650.14/x
  3. Step 3: Cross multiply
    13,937.62x = 19,234.12 × 7,650.14
  4. Step 4: Simplify right side
    13,937.62x = 147,143,710.78
  5. Step 5: Solve for x
    x = 147,143,710.78/13,937.62
  6. Step 6: Final answer
    x = 10,557.31

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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.