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Finding the Fourth Proportional to 7,046.40, 9,722.52 and 4,251.84

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Solution

The fourth proportional to 7,046.40, 9,722.52 and 4,251.84 is: 5,866.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,046.40 : 9,722.52 = 4,251.84 : x
  2. Step 2: Convert to fraction form
    7,046.40/9,722.52 = 4,251.84/x
  3. Step 3: Cross multiply
    7,046.40x = 9,722.52 × 4,251.84
  4. Step 4: Simplify right side
    7,046.40x = 41,338,599.44
  5. Step 5: Solve for x
    x = 41,338,599.44/7,046.40
  6. Step 6: Final answer
    x = 5,866.63

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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.