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Finding the Fourth Proportional to 9,791.79, 13,511.30 and 5,758.80

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Solution

The fourth proportional to 9,791.79, 13,511.30 and 5,758.80 is: 7,946.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.79 : 13,511.30 = 5,758.80 : x
  2. Step 2: Convert to fraction form
    9,791.79/13,511.30 = 5,758.80/x
  3. Step 3: Cross multiply
    9,791.79x = 13,511.30 × 5,758.80
  4. Step 4: Simplify right side
    9,791.79x = 77,808,874.44
  5. Step 5: Solve for x
    x = 77,808,874.44/9,791.79
  6. Step 6: Final answer
    x = 7,946.34

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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.