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Finding the Fourth Proportional to 6,710, 10,066.44 and 2,606

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Solution

The fourth proportional to 6,710, 10,066.44 and 2,606 is: 3,909.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,710 : 10,066.44 = 2,606 : x
  2. Step 2: Convert to fraction form
    6,710/10,066.44 = 2,606/x
  3. Step 3: Cross multiply
    6,710x = 10,066.44 × 2,606
  4. Step 4: Simplify right side
    6,710x = 26,233,142.64
  5. Step 5: Solve for x
    x = 26,233,142.64/6,710
  6. Step 6: Final answer
    x = 3,909.56

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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.