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Finding the Fourth Proportional to 11,524.40, 15,901.44 and 6,809.48

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Solution

The fourth proportional to 11,524.40, 15,901.44 and 6,809.48 is: 9,395.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,524.40 : 15,901.44 = 6,809.48 : x
  2. Step 2: Convert to fraction form
    11,524.40/15,901.44 = 6,809.48/x
  3. Step 3: Cross multiply
    11,524.40x = 15,901.44 × 6,809.48
  4. Step 4: Simplify right side
    11,524.40x = 108,280,537.65
  5. Step 5: Solve for x
    x = 108,280,537.65/11,524.40
  6. Step 6: Final answer
    x = 9,395.76

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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.