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Finding the Fourth Proportional to 6,370, 9,555.36 and 2,266

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Solution

The fourth proportional to 6,370, 9,555.36 and 2,266 is: 3,399.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,370 : 9,555.36 = 2,266 : x
  2. Step 2: Convert to fraction form
    6,370/9,555.36 = 2,266/x
  3. Step 3: Cross multiply
    6,370x = 9,555.36 × 2,266
  4. Step 4: Simplify right side
    6,370x = 21,652,445.76
  5. Step 5: Solve for x
    x = 21,652,445.76/6,370
  6. Step 6: Final answer
    x = 3,399.13

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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.