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Finding the Fourth Proportional to 6,002.37, 9,003.56 and 3,078.81

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Solution

The fourth proportional to 6,002.37, 9,003.56 and 3,078.81 is: 4,618.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,002.37 : 9,003.56 = 3,078.81 : x
  2. Step 2: Convert to fraction form
    6,002.37/9,003.56 = 3,078.81/x
  3. Step 3: Cross multiply
    6,002.37x = 9,003.56 × 3,078.81
  4. Step 4: Simplify right side
    6,002.37x = 27,720,235.17
  5. Step 5: Solve for x
    x = 27,720,235.17/6,002.37
  6. Step 6: Final answer
    x = 4,618.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.