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Finding the Fourth Proportional to 13,980.06, 20,970.09 and 3,591

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Solution

The fourth proportional to 13,980.06, 20,970.09 and 3,591 is: 5,386.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,980.06 : 20,970.09 = 3,591 : x
  2. Step 2: Convert to fraction form
    13,980.06/20,970.09 = 3,591/x
  3. Step 3: Cross multiply
    13,980.06x = 20,970.09 × 3,591
  4. Step 4: Simplify right side
    13,980.06x = 75,303,593.19
  5. Step 5: Solve for x
    x = 75,303,593.19/13,980.06
  6. Step 6: Final answer
    x = 5,386.50

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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.