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Finding the Fourth Proportional to 6,670.44, 10,006.14 and 2,053.56

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Solution

The fourth proportional to 6,670.44, 10,006.14 and 2,053.56 is: 3,080.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,670.44 : 10,006.14 = 2,053.56 : x
  2. Step 2: Convert to fraction form
    6,670.44/10,006.14 = 2,053.56/x
  3. Step 3: Cross multiply
    6,670.44x = 10,006.14 × 2,053.56
  4. Step 4: Simplify right side
    6,670.44x = 20,548,208.86
  5. Step 5: Solve for x
    x = 20,548,208.86/6,670.44
  6. Step 6: Final answer
    x = 3,080.49

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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.