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Finding the Fourth Proportional to 22,575, 33,862.74 and 6,159

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Solution

The fourth proportional to 22,575, 33,862.74 and 6,159 is: 9,238.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,575 : 33,862.74 = 6,159 : x
  2. Step 2: Convert to fraction form
    22,575/33,862.74 = 6,159/x
  3. Step 3: Cross multiply
    22,575x = 33,862.74 × 6,159
  4. Step 4: Simplify right side
    22,575x = 208,560,615.66
  5. Step 5: Solve for x
    x = 208,560,615.66/22,575
  6. Step 6: Final answer
    x = 9,238.57

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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.