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Finding the Fourth Proportional to 22,649.34, 33,963.02 and 9,498.18

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Solution

The fourth proportional to 22,649.34, 33,963.02 and 9,498.18 is: 14,242.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,649.34 : 33,963.02 = 9,498.18 : x
  2. Step 2: Convert to fraction form
    22,649.34/33,963.02 = 9,498.18/x
  3. Step 3: Cross multiply
    22,649.34x = 33,963.02 × 9,498.18
  4. Step 4: Simplify right side
    22,649.34x = 322,586,877.30
  5. Step 5: Solve for x
    x = 322,586,877.30/22,649.34
  6. Step 6: Final answer
    x = 14,242.66

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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.