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Finding the Fourth Proportional to 6,805.86, 9,391.77 and 4,010.82

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Solution

The fourth proportional to 6,805.86, 9,391.77 and 4,010.82 is: 5,534.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.86 : 9,391.77 = 4,010.82 : x
  2. Step 2: Convert to fraction form
    6,805.86/9,391.77 = 4,010.82/x
  3. Step 3: Cross multiply
    6,805.86x = 9,391.77 × 4,010.82
  4. Step 4: Simplify right side
    6,805.86x = 37,668,698.95
  5. Step 5: Solve for x
    x = 37,668,698.95/6,805.86
  6. Step 6: Final answer
    x = 5,534.74

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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.