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Finding the Fourth Proportional to 9,744.02, 14,616.12 and 3,508.48

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Solution

The fourth proportional to 9,744.02, 14,616.12 and 3,508.48 is: 5,262.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,744.02 : 14,616.12 = 3,508.48 : x
  2. Step 2: Convert to fraction form
    9,744.02/14,616.12 = 3,508.48/x
  3. Step 3: Cross multiply
    9,744.02x = 14,616.12 × 3,508.48
  4. Step 4: Simplify right side
    9,744.02x = 51,280,291.62
  5. Step 5: Solve for x
    x = 51,280,291.62/9,744.02
  6. Step 6: Final answer
    x = 5,262.75

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Similar ratio
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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.