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Finding the Fourth Proportional to 12,509.98, 18,764.61 and 3,149.98

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Solution

The fourth proportional to 12,509.98, 18,764.61 and 3,149.98 is: 4,724.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,509.98 : 18,764.61 = 3,149.98 : x
  2. Step 2: Convert to fraction form
    12,509.98/18,764.61 = 3,149.98/x
  3. Step 3: Cross multiply
    12,509.98x = 18,764.61 × 3,149.98
  4. Step 4: Simplify right side
    12,509.98x = 59,108,146.21
  5. Step 5: Solve for x
    x = 59,108,146.21/12,509.98
  6. Step 6: Final answer
    x = 4,724.88

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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.