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Finding the Fourth Proportional to 9,752.13, 14,616.03 and 4,481.54

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Solution

The fourth proportional to 9,752.13, 14,616.03 and 4,481.54 is: 6,716.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752.13 : 14,616.03 = 4,481.54 : x
  2. Step 2: Convert to fraction form
    9,752.13/14,616.03 = 4,481.54/x
  3. Step 3: Cross multiply
    9,752.13x = 14,616.03 × 4,481.54
  4. Step 4: Simplify right side
    9,752.13x = 65,502,250.01
  5. Step 5: Solve for x
    x = 65,502,250.01/9,752.13
  6. Step 6: Final answer
    x = 6,716.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.