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Finding the Fourth Proportional to 22,428, 33,642 and 6,012

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Solution

The fourth proportional to 22,428, 33,642 and 6,012 is: 9,018

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,428 : 33,642 = 6,012 : x
  2. Step 2: Convert to fraction form
    22,428/33,642 = 6,012/x
  3. Step 3: Cross multiply
    22,428x = 33,642 × 6,012
  4. Step 4: Simplify right side
    22,428x = 202,255,704
  5. Step 5: Solve for x
    x = 202,255,704/22,428
  6. Step 6: Final answer
    x = 9,018

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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.