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Finding the Fourth Proportional to 4,061.69, 6,092.54 and 983.69

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Solution

The fourth proportional to 4,061.69, 6,092.54 and 983.69 is: 1,475.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,061.69 : 6,092.54 = 983.69 : x
  2. Step 2: Convert to fraction form
    4,061.69/6,092.54 = 983.69/x
  3. Step 3: Cross multiply
    4,061.69x = 6,092.54 × 983.69
  4. Step 4: Simplify right side
    4,061.69x = 5,993,170.67
  5. Step 5: Solve for x
    x = 5,993,170.67/4,061.69
  6. Step 6: Final answer
    x = 1,475.54

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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.