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Finding the Fourth Proportional to 6,648.54, 9,970.92 and 2,265

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Solution

The fourth proportional to 6,648.54, 9,970.92 and 2,265 is: 3,396.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,648.54 : 9,970.92 = 2,265 : x
  2. Step 2: Convert to fraction form
    6,648.54/9,970.92 = 2,265/x
  3. Step 3: Cross multiply
    6,648.54x = 9,970.92 × 2,265
  4. Step 4: Simplify right side
    6,648.54x = 22,584,133.80
  5. Step 5: Solve for x
    x = 22,584,133.80/6,648.54
  6. Step 6: Final answer
    x = 3,396.86

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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.