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Finding the Fourth Proportional to 6,809.40, 10,194.90 and 6,617.40

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Solution

The fourth proportional to 6,809.40, 10,194.90 and 6,617.40 is: 9,907.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.40 : 10,194.90 = 6,617.40 : x
  2. Step 2: Convert to fraction form
    6,809.40/10,194.90 = 6,617.40/x
  3. Step 3: Cross multiply
    6,809.40x = 10,194.90 × 6,617.40
  4. Step 4: Simplify right side
    6,809.40x = 67,463,731.26
  5. Step 5: Solve for x
    x = 67,463,731.26/6,809.40
  6. Step 6: Final answer
    x = 9,907.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.