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Finding the Fourth Proportional to 22,649.86, 33,963.85 and 9,498.70

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Solution

The fourth proportional to 22,649.86, 33,963.85 and 9,498.70 is: 14,243.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,649.86 : 33,963.85 = 9,498.70 : x
  2. Step 2: Convert to fraction form
    22,649.86/33,963.85 = 9,498.70/x
  3. Step 3: Cross multiply
    22,649.86x = 33,963.85 × 9,498.70
  4. Step 4: Simplify right side
    22,649.86x = 322,612,422.00
  5. Step 5: Solve for x
    x = 322,612,422.00/22,649.86
  6. Step 6: Final answer
    x = 14,243.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.