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Finding the Fourth Proportional to 9,397, 12,967.86 and 5,205.52

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Solution

The fourth proportional to 9,397, 12,967.86 and 5,205.52 is: 7,183.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,397 : 12,967.86 = 5,205.52 : x
  2. Step 2: Convert to fraction form
    9,397/12,967.86 = 5,205.52/x
  3. Step 3: Cross multiply
    9,397x = 12,967.86 × 5,205.52
  4. Step 4: Simplify right side
    9,397x = 67,504,454.59
  5. Step 5: Solve for x
    x = 67,504,454.59/9,397
  6. Step 6: Final answer
    x = 7,183.62

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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.