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Finding the Fourth Proportional to 11,324.98, 15,628.98 and 6,847.12

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Solution

The fourth proportional to 11,324.98, 15,628.98 and 6,847.12 is: 9,449.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,324.98 : 15,628.98 = 6,847.12 : x
  2. Step 2: Convert to fraction form
    11,324.98/15,628.98 = 6,847.12/x
  3. Step 3: Cross multiply
    11,324.98x = 15,628.98 × 6,847.12
  4. Step 4: Simplify right side
    11,324.98x = 107,013,501.54
  5. Step 5: Solve for x
    x = 107,013,501.54/11,324.98
  6. Step 6: Final answer
    x = 9,449.33

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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.