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Finding the Fourth Proportional to 6,648.92, 9,175.46 and 3,664.76

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Solution

The fourth proportional to 6,648.92, 9,175.46 and 3,664.76 is: 5,057.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,648.92 : 9,175.46 = 3,664.76 : x
  2. Step 2: Convert to fraction form
    6,648.92/9,175.46 = 3,664.76/x
  3. Step 3: Cross multiply
    6,648.92x = 9,175.46 × 3,664.76
  4. Step 4: Simplify right side
    6,648.92x = 33,625,822.07
  5. Step 5: Solve for x
    x = 33,625,822.07/6,648.92
  6. Step 6: Final answer
    x = 5,057.34

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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.