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Finding the Fourth Proportional to 8,974.13, 13,395.47 and 8,323.58

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Solution

The fourth proportional to 8,974.13, 13,395.47 and 8,323.58 is: 12,424.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,974.13 : 13,395.47 = 8,323.58 : x
  2. Step 2: Convert to fraction form
    8,974.13/13,395.47 = 8,323.58/x
  3. Step 3: Cross multiply
    8,974.13x = 13,395.47 × 8,323.58
  4. Step 4: Simplify right side
    8,974.13x = 111,498,258.05
  5. Step 5: Solve for x
    x = 111,498,258.05/8,974.13
  6. Step 6: Final answer
    x = 12,424.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.