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Finding the Fourth Proportional to 16,359.52, 22,575.36 and 9,285

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Solution

The fourth proportional to 16,359.52, 22,575.36 and 9,285 is: 12,812.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,359.52 : 22,575.36 = 9,285 : x
  2. Step 2: Convert to fraction form
    16,359.52/22,575.36 = 9,285/x
  3. Step 3: Cross multiply
    16,359.52x = 22,575.36 × 9,285
  4. Step 4: Simplify right side
    16,359.52x = 209,612,217.60
  5. Step 5: Solve for x
    x = 209,612,217.60/16,359.52
  6. Step 6: Final answer
    x = 12,812.86

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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.