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Finding the Fourth Proportional to 7,283.25, 10,926.68 and 2,352.78

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Solution

The fourth proportional to 7,283.25, 10,926.68 and 2,352.78 is: 3,529.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,283.25 : 10,926.68 = 2,352.78 : x
  2. Step 2: Convert to fraction form
    7,283.25/10,926.68 = 2,352.78/x
  3. Step 3: Cross multiply
    7,283.25x = 10,926.68 × 2,352.78
  4. Step 4: Simplify right side
    7,283.25x = 25,708,062.41
  5. Step 5: Solve for x
    x = 25,708,062.41/7,283.25
  6. Step 6: Final answer
    x = 3,529.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.