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Finding the Fourth Proportional to 9,519.98, 14,255.13 and 7,660.94

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Solution

The fourth proportional to 9,519.98, 14,255.13 and 7,660.94 is: 11,471.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,519.98 : 14,255.13 = 7,660.94 : x
  2. Step 2: Convert to fraction form
    9,519.98/14,255.13 = 7,660.94/x
  3. Step 3: Cross multiply
    9,519.98x = 14,255.13 × 7,660.94
  4. Step 4: Simplify right side
    9,519.98x = 109,207,695.62
  5. Step 5: Solve for x
    x = 109,207,695.62/9,519.98
  6. Step 6: Final answer
    x = 11,471.42

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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.