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Finding the Fourth Proportional to 22,284, 33,426 and 6,701.64

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Solution

The fourth proportional to 22,284, 33,426 and 6,701.64 is: 10,052.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,284 : 33,426 = 6,701.64 : x
  2. Step 2: Convert to fraction form
    22,284/33,426 = 6,701.64/x
  3. Step 3: Cross multiply
    22,284x = 33,426 × 6,701.64
  4. Step 4: Simplify right side
    22,284x = 224,009,018.64
  5. Step 5: Solve for x
    x = 224,009,018.64/22,284
  6. Step 6: Final answer
    x = 10,052.46

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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.