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Finding the Fourth Proportional to 4,773.69, 6,589.17 and 3,006.81

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Solution

The fourth proportional to 4,773.69, 6,589.17 and 3,006.81 is: 4,150.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,773.69 : 6,589.17 = 3,006.81 : x
  2. Step 2: Convert to fraction form
    4,773.69/6,589.17 = 3,006.81/x
  3. Step 3: Cross multiply
    4,773.69x = 6,589.17 × 3,006.81
  4. Step 4: Simplify right side
    4,773.69x = 19,812,382.25
  5. Step 5: Solve for x
    x = 19,812,382.25/4,773.69
  6. Step 6: Final answer
    x = 4,150.33

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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.