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Finding the Fourth Proportional to 6,669, 10,003.64 and 2,052

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Solution

The fourth proportional to 6,669, 10,003.64 and 2,052 is: 3,078.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,669 : 10,003.64 = 2,052 : x
  2. Step 2: Convert to fraction form
    6,669/10,003.64 = 2,052/x
  3. Step 3: Cross multiply
    6,669x = 10,003.64 × 2,052
  4. Step 4: Simplify right side
    6,669x = 20,527,459.02
  5. Step 5: Solve for x
    x = 20,527,459.02/6,669
  6. Step 6: Final answer
    x = 3,078.04

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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.