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Finding the Fourth Proportional to 22,407.84, 33,616.76 and 6,826.68

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Solution

The fourth proportional to 22,407.84, 33,616.76 and 6,826.68 is: 10,241.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,407.84 : 33,616.76 = 6,826.68 : x
  2. Step 2: Convert to fraction form
    22,407.84/33,616.76 = 6,826.68/x
  3. Step 3: Cross multiply
    22,407.84x = 33,616.76 × 6,826.68
  4. Step 4: Simplify right side
    22,407.84x = 229,490,829.02
  5. Step 5: Solve for x
    x = 229,490,829.02/22,407.84
  6. Step 6: Final answer
    x = 10,241.54

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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.