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Finding the Fourth Proportional to 8,646.86, 11,938.12 and 5,993.30

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Solution

The fourth proportional to 8,646.86, 11,938.12 and 5,993.30 is: 8,274.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,646.86 : 11,938.12 = 5,993.30 : x
  2. Step 2: Convert to fraction form
    8,646.86/11,938.12 = 5,993.30/x
  3. Step 3: Cross multiply
    8,646.86x = 11,938.12 × 5,993.30
  4. Step 4: Simplify right side
    8,646.86x = 71,548,734.60
  5. Step 5: Solve for x
    x = 71,548,734.60/8,646.86
  6. Step 6: Final answer
    x = 8,274.53

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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.