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Finding the Fourth Proportional to 6,809.46, 9,395.40 and 3,975.22

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Solution

The fourth proportional to 6,809.46, 9,395.40 and 3,975.22 is: 5,484.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.46 : 9,395.40 = 3,975.22 : x
  2. Step 2: Convert to fraction form
    6,809.46/9,395.40 = 3,975.22/x
  3. Step 3: Cross multiply
    6,809.46x = 9,395.40 × 3,975.22
  4. Step 4: Simplify right side
    6,809.46x = 37,348,781.99
  5. Step 5: Solve for x
    x = 37,348,781.99/6,809.46
  6. Step 6: Final answer
    x = 5,484.84

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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.