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Finding the Fourth Proportional to 8,486.33, 11,708.49 and 4,947.03

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Solution

The fourth proportional to 8,486.33, 11,708.49 and 4,947.03 is: 6,825.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,486.33 : 11,708.49 = 4,947.03 : x
  2. Step 2: Convert to fraction form
    8,486.33/11,708.49 = 4,947.03/x
  3. Step 3: Cross multiply
    8,486.33x = 11,708.49 × 4,947.03
  4. Step 4: Simplify right side
    8,486.33x = 57,922,251.28
  5. Step 5: Solve for x
    x = 57,922,251.28/8,486.33
  6. Step 6: Final answer
    x = 6,825.36

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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.