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Finding the Fourth Proportional to 6,677, 10,015.64 and 2,060

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Solution

The fourth proportional to 6,677, 10,015.64 and 2,060 is: 3,090.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,677 : 10,015.64 = 2,060 : x
  2. Step 2: Convert to fraction form
    6,677/10,015.64 = 2,060/x
  3. Step 3: Cross multiply
    6,677x = 10,015.64 × 2,060
  4. Step 4: Simplify right side
    6,677x = 20,632,208.10
  5. Step 5: Solve for x
    x = 20,632,208.10/6,677
  6. Step 6: Final answer
    x = 3,090.04

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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.