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Finding the Fourth Proportional to 9,297.75, 13,948.91 and 4,361.65

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Solution

The fourth proportional to 9,297.75, 13,948.91 and 4,361.65 is: 6,543.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,297.75 : 13,948.91 = 4,361.65 : x
  2. Step 2: Convert to fraction form
    9,297.75/13,948.91 = 4,361.65/x
  3. Step 3: Cross multiply
    9,297.75x = 13,948.91 × 4,361.65
  4. Step 4: Simplify right side
    9,297.75x = 60,840,222.98
  5. Step 5: Solve for x
    x = 60,840,222.98/9,297.75
  6. Step 6: Final answer
    x = 6,543.54

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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.