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Finding the Fourth Proportional to 6,934.08, 9,568.80 and 4,137.92

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Solution

The fourth proportional to 6,934.08, 9,568.80 and 4,137.92 is: 5,710.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,934.08 : 9,568.80 = 4,137.92 : x
  2. Step 2: Convert to fraction form
    6,934.08/9,568.80 = 4,137.92/x
  3. Step 3: Cross multiply
    6,934.08x = 9,568.80 × 4,137.92
  4. Step 4: Simplify right side
    6,934.08x = 39,594,928.90
  5. Step 5: Solve for x
    x = 39,594,928.90/6,934.08
  6. Step 6: Final answer
    x = 5,710.19

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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.