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Finding the Fourth Proportional to 6,705.77, 10,057.82 and 1,775.79

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Solution

The fourth proportional to 6,705.77, 10,057.82 and 1,775.79 is: 2,663.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.77 : 10,057.82 = 1,775.79 : x
  2. Step 2: Convert to fraction form
    6,705.77/10,057.82 = 1,775.79/x
  3. Step 3: Cross multiply
    6,705.77x = 10,057.82 × 1,775.79
  4. Step 4: Simplify right side
    6,705.77x = 17,860,567.30
  5. Step 5: Solve for x
    x = 17,860,567.30/6,705.77
  6. Step 6: Final answer
    x = 2,663.46

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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.