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Finding the Fourth Proportional to 5,993.69, 8,263.82 and 4,664.57

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Solution

The fourth proportional to 5,993.69, 8,263.82 and 4,664.57 is: 6,431.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,993.69 : 8,263.82 = 4,664.57 : x
  2. Step 2: Convert to fraction form
    5,993.69/8,263.82 = 4,664.57/x
  3. Step 3: Cross multiply
    5,993.69x = 8,263.82 × 4,664.57
  4. Step 4: Simplify right side
    5,993.69x = 38,547,143.53
  5. Step 5: Solve for x
    x = 38,547,143.53/5,993.69
  6. Step 6: Final answer
    x = 6,431.29

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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.