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Finding the Fourth Proportional to 6,809.10, 9,163.13 and 6,809.10

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Solution

The fourth proportional to 6,809.10, 9,163.13 and 6,809.10 is: 9,163.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.10 : 9,163.13 = 6,809.10 : x
  2. Step 2: Convert to fraction form
    6,809.10/9,163.13 = 6,809.10/x
  3. Step 3: Cross multiply
    6,809.10x = 9,163.13 × 6,809.10
  4. Step 4: Simplify right side
    6,809.10x = 62,392,634.44
  5. Step 5: Solve for x
    x = 62,392,634.44/6,809.10
  6. Step 6: Final answer
    x = 9,163.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.