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Finding the Fourth Proportional to 6,097.36, 9,143.74 and 2,400.42

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Solution

The fourth proportional to 6,097.36, 9,143.74 and 2,400.42 is: 3,599.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.36 : 9,143.74 = 2,400.42 : x
  2. Step 2: Convert to fraction form
    6,097.36/9,143.74 = 2,400.42/x
  3. Step 3: Cross multiply
    6,097.36x = 9,143.74 × 2,400.42
  4. Step 4: Simplify right side
    6,097.36x = 21,948,816.37
  5. Step 5: Solve for x
    x = 21,948,816.37/6,097.36
  6. Step 6: Final answer
    x = 3,599.72

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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.