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Finding the Fourth Proportional to 8,145.92, 11,241.44 and 4,788.48

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Solution

The fourth proportional to 8,145.92, 11,241.44 and 4,788.48 is: 6,608.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,145.92 : 11,241.44 = 4,788.48 : x
  2. Step 2: Convert to fraction form
    8,145.92/11,241.44 = 4,788.48/x
  3. Step 3: Cross multiply
    8,145.92x = 11,241.44 × 4,788.48
  4. Step 4: Simplify right side
    8,145.92x = 53,829,410.61
  5. Step 5: Solve for x
    x = 53,829,410.61/8,145.92
  6. Step 6: Final answer
    x = 6,608.14

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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.