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Finding the Fourth Proportional to 9,794.91, 13,515.08 and 5,817.27

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Solution

The fourth proportional to 9,794.91, 13,515.08 and 5,817.27 is: 8,026.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.91 : 13,515.08 = 5,817.27 : x
  2. Step 2: Convert to fraction form
    9,794.91/13,515.08 = 5,817.27/x
  3. Step 3: Cross multiply
    9,794.91x = 13,515.08 × 5,817.27
  4. Step 4: Simplify right side
    9,794.91x = 78,620,840.35
  5. Step 5: Solve for x
    x = 78,620,840.35/9,794.91
  6. Step 6: Final answer
    x = 8,026.70

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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.