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Finding the Fourth Proportional to 6,737.81, 9,297.75 and 3,905.31

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Solution

The fourth proportional to 6,737.81, 9,297.75 and 3,905.31 is: 5,389.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,737.81 : 9,297.75 = 3,905.31 : x
  2. Step 2: Convert to fraction form
    6,737.81/9,297.75 = 3,905.31/x
  3. Step 3: Cross multiply
    6,737.81x = 9,297.75 × 3,905.31
  4. Step 4: Simplify right side
    6,737.81x = 36,310,596.05
  5. Step 5: Solve for x
    x = 36,310,596.05/6,737.81
  6. Step 6: Final answer
    x = 5,389.08

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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.