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Finding the Fourth Proportional to 9,473.68, 13,072.44 and 5,494.24

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Solution

The fourth proportional to 9,473.68, 13,072.44 and 5,494.24 is: 7,581.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,473.68 : 13,072.44 = 5,494.24 : x
  2. Step 2: Convert to fraction form
    9,473.68/13,072.44 = 5,494.24/x
  3. Step 3: Cross multiply
    9,473.68x = 13,072.44 × 5,494.24
  4. Step 4: Simplify right side
    9,473.68x = 71,823,122.75
  5. Step 5: Solve for x
    x = 71,823,122.75/9,473.68
  6. Step 6: Final answer
    x = 7,581.33

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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.