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Finding the Fourth Proportional to 16,367.29, 22,587 and 9,293.86

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Solution

The fourth proportional to 16,367.29, 22,587 and 9,293.86 is: 12,825.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,367.29 : 22,587 = 9,293.86 : x
  2. Step 2: Convert to fraction form
    16,367.29/22,587 = 9,293.86/x
  3. Step 3: Cross multiply
    16,367.29x = 22,587 × 9,293.86
  4. Step 4: Simplify right side
    16,367.29x = 209,920,415.82
  5. Step 5: Solve for x
    x = 209,920,415.82/16,367.29
  6. Step 6: Final answer
    x = 12,825.61

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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.