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Finding the Fourth Proportional to 14,759.74, 22,146.17 and 7,738.09

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Solution

The fourth proportional to 14,759.74, 22,146.17 and 7,738.09 is: 11,610.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,759.74 : 22,146.17 = 7,738.09 : x
  2. Step 2: Convert to fraction form
    14,759.74/22,146.17 = 7,738.09/x
  3. Step 3: Cross multiply
    14,759.74x = 22,146.17 × 7,738.09
  4. Step 4: Simplify right side
    14,759.74x = 171,369,056.62
  5. Step 5: Solve for x
    x = 171,369,056.62/14,759.74
  6. Step 6: Final answer
    x = 11,610.57

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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.