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Finding the Fourth Proportional to 16,594.75, 22,900.80 and 9,142.75

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Solution

The fourth proportional to 16,594.75, 22,900.80 and 9,142.75 is: 12,617.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,594.75 : 22,900.80 = 9,142.75 : x
  2. Step 2: Convert to fraction form
    16,594.75/22,900.80 = 9,142.75/x
  3. Step 3: Cross multiply
    16,594.75x = 22,900.80 × 9,142.75
  4. Step 4: Simplify right side
    16,594.75x = 209,376,289.20
  5. Step 5: Solve for x
    x = 209,376,289.20/16,594.75
  6. Step 6: Final answer
    x = 12,617.02

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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.