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Finding the Fourth Proportional to 6,894.87, 9,514.95 and 3,751.05

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Solution

The fourth proportional to 6,894.87, 9,514.95 and 3,751.05 is: 5,176.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894.87 : 9,514.95 = 3,751.05 : x
  2. Step 2: Convert to fraction form
    6,894.87/9,514.95 = 3,751.05/x
  3. Step 3: Cross multiply
    6,894.87x = 9,514.95 × 3,751.05
  4. Step 4: Simplify right side
    6,894.87x = 35,691,053.20
  5. Step 5: Solve for x
    x = 35,691,053.20/6,894.87
  6. Step 6: Final answer
    x = 5,176.46

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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.