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Finding the Fourth Proportional to 7,852.29, 10,836.82 and 5,339.97

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Solution

The fourth proportional to 7,852.29, 10,836.82 and 5,339.97 is: 7,369.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.29 : 10,836.82 = 5,339.97 : x
  2. Step 2: Convert to fraction form
    7,852.29/10,836.82 = 5,339.97/x
  3. Step 3: Cross multiply
    7,852.29x = 10,836.82 × 5,339.97
  4. Step 4: Simplify right side
    7,852.29x = 57,868,293.70
  5. Step 5: Solve for x
    x = 57,868,293.70/7,852.29
  6. Step 6: Final answer
    x = 7,369.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.