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Finding the Fourth Proportional to 8,461.68, 12,696.84 and 7,243.44

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Solution

The fourth proportional to 8,461.68, 12,696.84 and 7,243.44 is: 10,868.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461.68 : 12,696.84 = 7,243.44 : x
  2. Step 2: Convert to fraction form
    8,461.68/12,696.84 = 7,243.44/x
  3. Step 3: Cross multiply
    8,461.68x = 12,696.84 × 7,243.44
  4. Step 4: Simplify right side
    8,461.68x = 91,968,798.73
  5. Step 5: Solve for x
    x = 91,968,798.73/8,461.68
  6. Step 6: Final answer
    x = 10,868.86

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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.