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Finding the Fourth Proportional to 22,432.84, 33,652.86 and 6,849.16

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Solution

The fourth proportional to 22,432.84, 33,652.86 and 6,849.16 is: 10,274.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,432.84 : 33,652.86 = 6,849.16 : x
  2. Step 2: Convert to fraction form
    22,432.84/33,652.86 = 6,849.16/x
  3. Step 3: Cross multiply
    22,432.84x = 33,652.86 × 6,849.16
  4. Step 4: Simplify right side
    22,432.84x = 230,493,822.60
  5. Step 5: Solve for x
    x = 230,493,822.60/22,432.84
  6. Step 6: Final answer
    x = 10,274.84

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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.