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Finding the Fourth Proportional to 6,865.74, 10,297.05 and 3,355.74

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Solution

The fourth proportional to 6,865.74, 10,297.05 and 3,355.74 is: 5,032.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,865.74 : 10,297.05 = 3,355.74 : x
  2. Step 2: Convert to fraction form
    6,865.74/10,297.05 = 3,355.74/x
  3. Step 3: Cross multiply
    6,865.74x = 10,297.05 × 3,355.74
  4. Step 4: Simplify right side
    6,865.74x = 34,554,222.57
  5. Step 5: Solve for x
    x = 34,554,222.57/6,865.74
  6. Step 6: Final answer
    x = 5,032.85

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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.