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Finding the Fourth Proportional to 15,970.48, 23,954.90 and 6,109

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Solution

The fourth proportional to 15,970.48, 23,954.90 and 6,109 is: 9,163.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,970.48 : 23,954.90 = 6,109 : x
  2. Step 2: Convert to fraction form
    15,970.48/23,954.90 = 6,109/x
  3. Step 3: Cross multiply
    15,970.48x = 23,954.90 × 6,109
  4. Step 4: Simplify right side
    15,970.48x = 146,340,484.10
  5. Step 5: Solve for x
    x = 146,340,484.10/15,970.48
  6. Step 6: Final answer
    x = 9,163.19

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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.