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Finding the Fourth Proportional to 6,676.88, 10,012.44 and 2,570

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Solution

The fourth proportional to 6,676.88, 10,012.44 and 2,570 is: 3,853.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,676.88 : 10,012.44 = 2,570 : x
  2. Step 2: Convert to fraction form
    6,676.88/10,012.44 = 2,570/x
  3. Step 3: Cross multiply
    6,676.88x = 10,012.44 × 2,570
  4. Step 4: Simplify right side
    6,676.88x = 25,731,970.80
  5. Step 5: Solve for x
    x = 25,731,970.80/6,676.88
  6. Step 6: Final answer
    x = 3,853.89

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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.