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Finding the Fourth Proportional to 4,061.82, 6,092.75 and 983.82

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Solution

The fourth proportional to 4,061.82, 6,092.75 and 983.82 is: 1,475.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,061.82 : 6,092.75 = 983.82 : x
  2. Step 2: Convert to fraction form
    4,061.82/6,092.75 = 983.82/x
  3. Step 3: Cross multiply
    4,061.82x = 6,092.75 × 983.82
  4. Step 4: Simplify right side
    4,061.82x = 5,994,169.31
  5. Step 5: Solve for x
    x = 5,994,169.31/4,061.82
  6. Step 6: Final answer
    x = 1,475.73

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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.