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Finding the Fourth Proportional to 14,358.03, 21,537 and 3,969.75

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Solution

The fourth proportional to 14,358.03, 21,537 and 3,969.75 is: 5,954.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,358.03 : 21,537 = 3,969.75 : x
  2. Step 2: Convert to fraction form
    14,358.03/21,537 = 3,969.75/x
  3. Step 3: Cross multiply
    14,358.03x = 21,537 × 3,969.75
  4. Step 4: Simplify right side
    14,358.03x = 85,496,505.75
  5. Step 5: Solve for x
    x = 85,496,505.75/14,358.03
  6. Step 6: Final answer
    x = 5,954.61

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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.