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Finding the Fourth Proportional to 6,705.75, 10,057.48 and 1,775.68

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Solution

The fourth proportional to 6,705.75, 10,057.48 and 1,775.68 is: 2,663.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.75 : 10,057.48 = 1,775.68 : x
  2. Step 2: Convert to fraction form
    6,705.75/10,057.48 = 1,775.68/x
  3. Step 3: Cross multiply
    6,705.75x = 10,057.48 × 1,775.68
  4. Step 4: Simplify right side
    6,705.75x = 17,858,866.09
  5. Step 5: Solve for x
    x = 17,858,866.09/6,705.75
  6. Step 6: Final answer
    x = 2,663.22

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1.5x scale

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.