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Finding the Fourth Proportional to 11,448.48, 15,778.96 and 10,456.48

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Solution

The fourth proportional to 11,448.48, 15,778.96 and 10,456.48 is: 14,411.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,448.48 : 15,778.96 = 10,456.48 : x
  2. Step 2: Convert to fraction form
    11,448.48/15,778.96 = 10,456.48/x
  3. Step 3: Cross multiply
    11,448.48x = 15,778.96 × 10,456.48
  4. Step 4: Simplify right side
    11,448.48x = 164,992,379.66
  5. Step 5: Solve for x
    x = 164,992,379.66/11,448.48
  6. Step 6: Final answer
    x = 14,411.73

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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.