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Finding the Fourth Proportional to 8,053.34, 12,083.67 and 7,725.38

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Solution

The fourth proportional to 8,053.34, 12,083.67 and 7,725.38 is: 11,591.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,053.34 : 12,083.67 = 7,725.38 : x
  2. Step 2: Convert to fraction form
    8,053.34/12,083.67 = 7,725.38/x
  3. Step 3: Cross multiply
    8,053.34x = 12,083.67 × 7,725.38
  4. Step 4: Simplify right side
    8,053.34x = 93,350,942.54
  5. Step 5: Solve for x
    x = 93,350,942.54/8,053.34
  6. Step 6: Final answer
    x = 11,591.58

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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.