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Finding the Fourth Proportional to 9,469.76, 13,059.78 and 5,933.36

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Solution

The fourth proportional to 9,469.76, 13,059.78 and 5,933.36 is: 8,182.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,469.76 : 13,059.78 = 5,933.36 : x
  2. Step 2: Convert to fraction form
    9,469.76/13,059.78 = 5,933.36/x
  3. Step 3: Cross multiply
    9,469.76x = 13,059.78 × 5,933.36
  4. Step 4: Simplify right side
    9,469.76x = 77,488,376.26
  5. Step 5: Solve for x
    x = 77,488,376.26/9,469.76
  6. Step 6: Final answer
    x = 8,182.72

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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.