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Finding the Fourth Proportional to 7,794.83, 10,759.43 and 6,204.40

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Solution

The fourth proportional to 7,794.83, 10,759.43 and 6,204.40 is: 8,564.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,794.83 : 10,759.43 = 6,204.40 : x
  2. Step 2: Convert to fraction form
    7,794.83/10,759.43 = 6,204.40/x
  3. Step 3: Cross multiply
    7,794.83x = 10,759.43 × 6,204.40
  4. Step 4: Simplify right side
    7,794.83x = 66,755,796.10
  5. Step 5: Solve for x
    x = 66,755,796.10/7,794.83
  6. Step 6: Final answer
    x = 8,564.11

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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.