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Finding the Fourth Proportional to 16,367.52, 22,586.40 and 9,293

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Solution

The fourth proportional to 16,367.52, 22,586.40 and 9,293 is: 12,823.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,367.52 : 22,586.40 = 9,293 : x
  2. Step 2: Convert to fraction form
    16,367.52/22,586.40 = 9,293/x
  3. Step 3: Cross multiply
    16,367.52x = 22,586.40 × 9,293
  4. Step 4: Simplify right side
    16,367.52x = 209,895,415.20
  5. Step 5: Solve for x
    x = 209,895,415.20/16,367.52
  6. Step 6: Final answer
    x = 12,823.90

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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.