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Finding the Fourth Proportional to 6,805.86, 10,126.44 and 6,636.38

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Solution

The fourth proportional to 6,805.86, 10,126.44 and 6,636.38 is: 9,874.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.86 : 10,126.44 = 6,636.38 : x
  2. Step 2: Convert to fraction form
    6,805.86/10,126.44 = 6,636.38/x
  3. Step 3: Cross multiply
    6,805.86x = 10,126.44 × 6,636.38
  4. Step 4: Simplify right side
    6,805.86x = 67,202,853.26
  5. Step 5: Solve for x
    x = 67,202,853.26/6,805.86
  6. Step 6: Final answer
    x = 9,874.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.