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Finding the Fourth Proportional to 6,097.44, 8,414.58 and 3,578.94

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Solution

The fourth proportional to 6,097.44, 8,414.58 and 3,578.94 is: 4,939.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.44 : 8,414.58 = 3,578.94 : x
  2. Step 2: Convert to fraction form
    6,097.44/8,414.58 = 3,578.94/x
  3. Step 3: Cross multiply
    6,097.44x = 8,414.58 × 3,578.94
  4. Step 4: Simplify right side
    6,097.44x = 30,115,276.95
  5. Step 5: Solve for x
    x = 30,115,276.95/6,097.44
  6. Step 6: Final answer
    x = 4,939.00

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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.