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Finding the Fourth Proportional to 22,265.31, 33,400.16 and 6,470.48

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Solution

The fourth proportional to 22,265.31, 33,400.16 and 6,470.48 is: 9,706.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,265.31 : 33,400.16 = 6,470.48 : x
  2. Step 2: Convert to fraction form
    22,265.31/33,400.16 = 6,470.48/x
  3. Step 3: Cross multiply
    22,265.31x = 33,400.16 × 6,470.48
  4. Step 4: Simplify right side
    22,265.31x = 216,115,179.09
  5. Step 5: Solve for x
    x = 216,115,179.09/22,265.31
  6. Step 6: Final answer
    x = 9,706.36

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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.