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Finding the Fourth Proportional to 6,934.33, 9,568.63 and 4,101.81

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Solution

The fourth proportional to 6,934.33, 9,568.63 and 4,101.81 is: 5,660.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,934.33 : 9,568.63 = 4,101.81 : x
  2. Step 2: Convert to fraction form
    6,934.33/9,568.63 = 4,101.81/x
  3. Step 3: Cross multiply
    6,934.33x = 9,568.63 × 4,101.81
  4. Step 4: Simplify right side
    6,934.33x = 39,248,671.47
  5. Step 5: Solve for x
    x = 39,248,671.47/6,934.33
  6. Step 6: Final answer
    x = 5,660.06

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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.