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Finding the Fourth Proportional to 9,494.11, 13,103.16 and 7,132.15

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Solution

The fourth proportional to 9,494.11, 13,103.16 and 7,132.15 is: 9,843.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494.11 : 13,103.16 = 7,132.15 : x
  2. Step 2: Convert to fraction form
    9,494.11/13,103.16 = 7,132.15/x
  3. Step 3: Cross multiply
    9,494.11x = 13,103.16 × 7,132.15
  4. Step 4: Simplify right side
    9,494.11x = 93,453,669.84
  5. Step 5: Solve for x
    x = 93,453,669.84/9,494.11
  6. Step 6: Final answer
    x = 9,843.33

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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.