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Finding the Fourth Proportional to 18,515.88, 27,776.70 and 6,201

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Solution

The fourth proportional to 18,515.88, 27,776.70 and 6,201 is: 9,302.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,515.88 : 27,776.70 = 6,201 : x
  2. Step 2: Convert to fraction form
    18,515.88/27,776.70 = 6,201/x
  3. Step 3: Cross multiply
    18,515.88x = 27,776.70 × 6,201
  4. Step 4: Simplify right side
    18,515.88x = 172,243,316.70
  5. Step 5: Solve for x
    x = 172,243,316.70/18,515.88
  6. Step 6: Final answer
    x = 9,302.46

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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.