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Finding the Fourth Proportional to 6,257.80, 9,386.46 and 2,797.48

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Solution

The fourth proportional to 6,257.80, 9,386.46 and 2,797.48 is: 4,196.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,257.80 : 9,386.46 = 2,797.48 : x
  2. Step 2: Convert to fraction form
    6,257.80/9,386.46 = 2,797.48/x
  3. Step 3: Cross multiply
    6,257.80x = 9,386.46 × 2,797.48
  4. Step 4: Simplify right side
    6,257.80x = 26,258,434.12
  5. Step 5: Solve for x
    x = 26,258,434.12/6,257.80
  6. Step 6: Final answer
    x = 4,196.11

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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.