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Finding the Fourth Proportional to 9,803.88, 14,705.82 and 2,883.24

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Solution

The fourth proportional to 9,803.88, 14,705.82 and 2,883.24 is: 4,324.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.88 : 14,705.82 = 2,883.24 : x
  2. Step 2: Convert to fraction form
    9,803.88/14,705.82 = 2,883.24/x
  3. Step 3: Cross multiply
    9,803.88x = 14,705.82 × 2,883.24
  4. Step 4: Simplify right side
    9,803.88x = 42,400,408.46
  5. Step 5: Solve for x
    x = 42,400,408.46/9,803.88
  6. Step 6: Final answer
    x = 4,324.86

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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.