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Finding the Fourth Proportional to 22,424.63, 33,638.90 and 5,784.53

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Solution

The fourth proportional to 22,424.63, 33,638.90 and 5,784.53 is: 8,677.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,424.63 : 33,638.90 = 5,784.53 : x
  2. Step 2: Convert to fraction form
    22,424.63/33,638.90 = 5,784.53/x
  3. Step 3: Cross multiply
    22,424.63x = 33,638.90 × 5,784.53
  4. Step 4: Simplify right side
    22,424.63x = 194,585,029.10
  5. Step 5: Solve for x
    x = 194,585,029.10/22,424.63
  6. Step 6: Final answer
    x = 8,677.29

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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.