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Finding the Fourth Proportional to 6,884.82, 9,501.05 and 3,741

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Solution

The fourth proportional to 6,884.82, 9,501.05 and 3,741 is: 5,162.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,884.82 : 9,501.05 = 3,741 : x
  2. Step 2: Convert to fraction form
    6,884.82/9,501.05 = 3,741/x
  3. Step 3: Cross multiply
    6,884.82x = 9,501.05 × 3,741
  4. Step 4: Simplify right side
    6,884.82x = 35,543,409.35
  5. Step 5: Solve for x
    x = 35,543,409.35/6,884.82
  6. Step 6: Final answer
    x = 5,162.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.