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Finding the Fourth Proportional to 6,754.59, 9,323.33 and 3,922.65

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Solution

The fourth proportional to 6,754.59, 9,323.33 and 3,922.65 is: 5,414.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,754.59 : 9,323.33 = 3,922.65 : x
  2. Step 2: Convert to fraction form
    6,754.59/9,323.33 = 3,922.65/x
  3. Step 3: Cross multiply
    6,754.59x = 9,323.33 × 3,922.65
  4. Step 4: Simplify right side
    6,754.59x = 36,572,140.81
  5. Step 5: Solve for x
    x = 36,572,140.81/6,754.59
  6. Step 6: Final answer
    x = 5,414.41

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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.