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Finding the Fourth Proportional to 6,302.42, 9,451.24 and 1,858.87

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Solution

The fourth proportional to 6,302.42, 9,451.24 and 1,858.87 is: 2,787.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,302.42 : 9,451.24 = 1,858.87 : x
  2. Step 2: Convert to fraction form
    6,302.42/9,451.24 = 1,858.87/x
  3. Step 3: Cross multiply
    6,302.42x = 9,451.24 × 1,858.87
  4. Step 4: Simplify right side
    6,302.42x = 17,568,626.50
  5. Step 5: Solve for x
    x = 17,568,626.50/6,302.42
  6. Step 6: Final answer
    x = 2,787.60

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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.