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Finding the Fourth Proportional to 5,993.76, 8,274.32 and 4,646.33

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Solution

The fourth proportional to 5,993.76, 8,274.32 and 4,646.33 is: 6,414.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,993.76 : 8,274.32 = 4,646.33 : x
  2. Step 2: Convert to fraction form
    5,993.76/8,274.32 = 4,646.33/x
  3. Step 3: Cross multiply
    5,993.76x = 8,274.32 × 4,646.33
  4. Step 4: Simplify right side
    5,993.76x = 38,445,221.25
  5. Step 5: Solve for x
    x = 38,445,221.25/5,993.76
  6. Step 6: Final answer
    x = 6,414.21

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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.