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Finding the Fourth Proportional to 6,614.98, 9,107.85 and 5,786.98

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Solution

The fourth proportional to 6,614.98, 9,107.85 and 5,786.98 is: 7,967.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,614.98 : 9,107.85 = 5,786.98 : x
  2. Step 2: Convert to fraction form
    6,614.98/9,107.85 = 5,786.98/x
  3. Step 3: Cross multiply
    6,614.98x = 9,107.85 × 5,786.98
  4. Step 4: Simplify right side
    6,614.98x = 52,706,945.79
  5. Step 5: Solve for x
    x = 52,706,945.79/6,614.98
  6. Step 6: Final answer
    x = 7,967.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.