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Finding the Fourth Proportional to 6,181.64, 9,270.78 and 1,797.96

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Solution

The fourth proportional to 6,181.64, 9,270.78 and 1,797.96 is: 2,696.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,181.64 : 9,270.78 = 1,797.96 : x
  2. Step 2: Convert to fraction form
    6,181.64/9,270.78 = 1,797.96/x
  3. Step 3: Cross multiply
    6,181.64x = 9,270.78 × 1,797.96
  4. Step 4: Simplify right side
    6,181.64x = 16,668,491.61
  5. Step 5: Solve for x
    x = 16,668,491.61/6,181.64
  6. Step 6: Final answer
    x = 2,696.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.