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Finding the Fourth Proportional to 22,659, 33,982.02 and 9,514.32

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Solution

The fourth proportional to 22,659, 33,982.02 and 9,514.32 is: 14,268.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,659 : 33,982.02 = 9,514.32 : x
  2. Step 2: Convert to fraction form
    22,659/33,982.02 = 9,514.32/x
  3. Step 3: Cross multiply
    22,659x = 33,982.02 × 9,514.32
  4. Step 4: Simplify right side
    22,659x = 323,315,812.53
  5. Step 5: Solve for x
    x = 323,315,812.53/22,659
  6. Step 6: Final answer
    x = 14,268.76

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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.