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Finding the Fourth Proportional to 9,767.39, 14,649.10 and 2,747.72

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Solution

The fourth proportional to 9,767.39, 14,649.10 and 2,747.72 is: 4,121.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.39 : 14,649.10 = 2,747.72 : x
  2. Step 2: Convert to fraction form
    9,767.39/14,649.10 = 2,747.72/x
  3. Step 3: Cross multiply
    9,767.39x = 14,649.10 × 2,747.72
  4. Step 4: Simplify right side
    9,767.39x = 40,251,670.26
  5. Step 5: Solve for x
    x = 40,251,670.26/9,767.39
  6. Step 6: Final answer
    x = 4,121.03

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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.