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Finding the Fourth Proportional to 9,667, 13,340.87 and 5,633.74

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Solution

The fourth proportional to 9,667, 13,340.87 and 5,633.74 is: 7,774.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,667 : 13,340.87 = 5,633.74 : x
  2. Step 2: Convert to fraction form
    9,667/13,340.87 = 5,633.74/x
  3. Step 3: Cross multiply
    9,667x = 13,340.87 × 5,633.74
  4. Step 4: Simplify right side
    9,667x = 75,158,992.95
  5. Step 5: Solve for x
    x = 75,158,992.95/9,667
  6. Step 6: Final answer
    x = 7,774.80

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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.