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Finding the Fourth Proportional to 9,297.54, 13,950.42 and 3,761.70

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Solution

The fourth proportional to 9,297.54, 13,950.42 and 3,761.70 is: 5,644.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,297.54 : 13,950.42 = 3,761.70 : x
  2. Step 2: Convert to fraction form
    9,297.54/13,950.42 = 3,761.70/x
  3. Step 3: Cross multiply
    9,297.54x = 13,950.42 × 3,761.70
  4. Step 4: Simplify right side
    9,297.54x = 52,477,294.91
  5. Step 5: Solve for x
    x = 52,477,294.91/9,297.54
  6. Step 6: Final answer
    x = 5,644.21

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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.