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Finding the Fourth Proportional to 22,461.78, 33,680.76 and 6,875.22

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Solution

The fourth proportional to 22,461.78, 33,680.76 and 6,875.22 is: 10,309.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,461.78 : 33,680.76 = 6,875.22 : x
  2. Step 2: Convert to fraction form
    22,461.78/33,680.76 = 6,875.22/x
  3. Step 3: Cross multiply
    22,461.78x = 33,680.76 × 6,875.22
  4. Step 4: Simplify right side
    22,461.78x = 231,562,634.77
  5. Step 5: Solve for x
    x = 231,562,634.77/22,461.78
  6. Step 6: Final answer
    x = 10,309.18

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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.