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Finding the Fourth Proportional to 7,974.40, 10,994.64 and 6,853.12

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Solution

The fourth proportional to 7,974.40, 10,994.64 and 6,853.12 is: 9,448.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,974.40 : 10,994.64 = 6,853.12 : x
  2. Step 2: Convert to fraction form
    7,974.40/10,994.64 = 6,853.12/x
  3. Step 3: Cross multiply
    7,974.40x = 10,994.64 × 6,853.12
  4. Step 4: Simplify right side
    7,974.40x = 75,347,587.28
  5. Step 5: Solve for x
    x = 75,347,587.28/7,974.40
  6. Step 6: Final answer
    x = 9,448.68

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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.