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Finding the Fourth Proportional to 6,444.50, 9,666.14 and 2,060.78

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Solution

The fourth proportional to 6,444.50, 9,666.14 and 2,060.78 is: 3,090.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,444.50 : 9,666.14 = 2,060.78 : x
  2. Step 2: Convert to fraction form
    6,444.50/9,666.14 = 2,060.78/x
  3. Step 3: Cross multiply
    6,444.50x = 9,666.14 × 2,060.78
  4. Step 4: Simplify right side
    6,444.50x = 19,919,729.35
  5. Step 5: Solve for x
    x = 19,919,729.35/6,444.50
  6. Step 6: Final answer
    x = 3,090.97

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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.