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Finding the Fourth Proportional to 9,203.96, 13,794.42 and 7,248.44

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Solution

The fourth proportional to 9,203.96, 13,794.42 and 7,248.44 is: 10,863.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,203.96 : 13,794.42 = 7,248.44 : x
  2. Step 2: Convert to fraction form
    9,203.96/13,794.42 = 7,248.44/x
  3. Step 3: Cross multiply
    9,203.96x = 13,794.42 × 7,248.44
  4. Step 4: Simplify right side
    9,203.96x = 99,988,025.70
  5. Step 5: Solve for x
    x = 99,988,025.70/9,203.96
  6. Step 6: Final answer
    x = 10,863.59

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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.