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Finding the Fourth Proportional to 16,064.52, 22,169.91 and 9,259.56

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Solution

The fourth proportional to 16,064.52, 22,169.91 and 9,259.56 is: 12,778.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,064.52 : 22,169.91 = 9,259.56 : x
  2. Step 2: Convert to fraction form
    16,064.52/22,169.91 = 9,259.56/x
  3. Step 3: Cross multiply
    16,064.52x = 22,169.91 × 9,259.56
  4. Step 4: Simplify right side
    16,064.52x = 205,283,611.84
  5. Step 5: Solve for x
    x = 205,283,611.84/16,064.52
  6. Step 6: Final answer
    x = 12,778.70

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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.