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Finding the Fourth Proportional to 6,009.30, 8,289.90 and 3,884.22

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Solution

The fourth proportional to 6,009.30, 8,289.90 and 3,884.22 is: 5,358.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,009.30 : 8,289.90 = 3,884.22 : x
  2. Step 2: Convert to fraction form
    6,009.30/8,289.90 = 3,884.22/x
  3. Step 3: Cross multiply
    6,009.30x = 8,289.90 × 3,884.22
  4. Step 4: Simplify right side
    6,009.30x = 32,199,795.38
  5. Step 5: Solve for x
    x = 32,199,795.38/6,009.30
  6. Step 6: Final answer
    x = 5,358.33

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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.