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Finding the Fourth Proportional to 9,805.89, 14,711.01 and 3,231.81

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Solution

The fourth proportional to 9,805.89, 14,711.01 and 3,231.81 is: 4,848.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,805.89 : 14,711.01 = 3,231.81 : x
  2. Step 2: Convert to fraction form
    9,805.89/14,711.01 = 3,231.81/x
  3. Step 3: Cross multiply
    9,805.89x = 14,711.01 × 3,231.81
  4. Step 4: Simplify right side
    9,805.89x = 47,543,189.23
  5. Step 5: Solve for x
    x = 47,543,189.23/9,805.89
  6. Step 6: Final answer
    x = 4,848.43

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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.