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Finding the Fourth Proportional to 6,809.87, 9,397.19 and 3,784.80

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Solution

The fourth proportional to 6,809.87, 9,397.19 and 3,784.80 is: 5,222.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.87 : 9,397.19 = 3,784.80 : x
  2. Step 2: Convert to fraction form
    6,809.87/9,397.19 = 3,784.80/x
  3. Step 3: Cross multiply
    6,809.87x = 9,397.19 × 3,784.80
  4. Step 4: Simplify right side
    6,809.87x = 35,566,465.79
  5. Step 5: Solve for x
    x = 35,566,465.79/6,809.87
  6. Step 6: Final answer
    x = 5,222.79

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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.