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Finding the Fourth Proportional to 9,805.84, 14,708.75 and 3,958.65

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Solution

The fourth proportional to 9,805.84, 14,708.75 and 3,958.65 is: 5,937.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,805.84 : 14,708.75 = 3,958.65 : x
  2. Step 2: Convert to fraction form
    9,805.84/14,708.75 = 3,958.65/x
  3. Step 3: Cross multiply
    9,805.84x = 14,708.75 × 3,958.65
  4. Step 4: Simplify right side
    9,805.84x = 58,226,793.19
  5. Step 5: Solve for x
    x = 58,226,793.19/9,805.84
  6. Step 6: Final answer
    x = 5,937.97

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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.