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Finding the Fourth Proportional to 11,449.48, 15,799.22 and 6,481.48

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Solution

The fourth proportional to 11,449.48, 15,799.22 and 6,481.48 is: 8,943.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,449.48 : 15,799.22 = 6,481.48 : x
  2. Step 2: Convert to fraction form
    11,449.48/15,799.22 = 6,481.48/x
  3. Step 3: Cross multiply
    11,449.48x = 15,799.22 × 6,481.48
  4. Step 4: Simplify right side
    11,449.48x = 102,402,328.45
  5. Step 5: Solve for x
    x = 102,402,328.45/11,449.48
  6. Step 6: Final answer
    x = 8,943.84

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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.