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Finding the Fourth Proportional to 14,568, 21,850.14 and 4,706.25

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Solution

The fourth proportional to 14,568, 21,850.14 and 4,706.25 is: 7,058.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,568 : 21,850.14 = 4,706.25 : x
  2. Step 2: Convert to fraction form
    14,568/21,850.14 = 4,706.25/x
  3. Step 3: Cross multiply
    14,568x = 21,850.14 × 4,706.25
  4. Step 4: Simplify right side
    14,568x = 102,832,221.38
  5. Step 5: Solve for x
    x = 102,832,221.38/14,568
  6. Step 6: Final answer
    x = 7,058.77

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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.