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Finding the Fourth Proportional to 9,338.25, 13,972.77 and 7,483.74

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Solution

The fourth proportional to 9,338.25, 13,972.77 and 7,483.74 is: 11,197.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,338.25 : 13,972.77 = 7,483.74 : x
  2. Step 2: Convert to fraction form
    9,338.25/13,972.77 = 7,483.74/x
  3. Step 3: Cross multiply
    9,338.25x = 13,972.77 × 7,483.74
  4. Step 4: Simplify right side
    9,338.25x = 104,568,525.36
  5. Step 5: Solve for x
    x = 104,568,525.36/9,338.25
  6. Step 6: Final answer
    x = 11,197.87

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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.