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Finding the Fourth Proportional to 6,648.76, 9,175.34 and 3,664.70

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Solution

The fourth proportional to 6,648.76, 9,175.34 and 3,664.70 is: 5,057.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,648.76 : 9,175.34 = 3,664.70 : x
  2. Step 2: Convert to fraction form
    6,648.76/9,175.34 = 3,664.70/x
  3. Step 3: Cross multiply
    6,648.76x = 9,175.34 × 3,664.70
  4. Step 4: Simplify right side
    6,648.76x = 33,624,868.50
  5. Step 5: Solve for x
    x = 33,624,868.50/6,648.76
  6. Step 6: Final answer
    x = 5,057.31

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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.