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Finding the Fourth Proportional to 16,588.75, 22,892.48 and 9,136.75

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Solution

The fourth proportional to 16,588.75, 22,892.48 and 9,136.75 is: 12,608.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,588.75 : 22,892.48 = 9,136.75 : x
  2. Step 2: Convert to fraction form
    16,588.75/22,892.48 = 9,136.75/x
  3. Step 3: Cross multiply
    16,588.75x = 22,892.48 × 9,136.75
  4. Step 4: Simplify right side
    16,588.75x = 209,162,820.96
  5. Step 5: Solve for x
    x = 209,162,820.96/16,588.75
  6. Step 6: Final answer
    x = 12,608.72

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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.