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Finding the Fourth Proportional to 13,957.96, 20,940 and 4,597.60

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Solution

The fourth proportional to 13,957.96, 20,940 and 4,597.60 is: 6,897.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,957.96 : 20,940 = 4,597.60 : x
  2. Step 2: Convert to fraction form
    13,957.96/20,940 = 4,597.60/x
  3. Step 3: Cross multiply
    13,957.96x = 20,940 × 4,597.60
  4. Step 4: Simplify right side
    13,957.96x = 96,273,744.00
  5. Step 5: Solve for x
    x = 96,273,744.00/13,957.96
  6. Step 6: Final answer
    x = 6,897.41

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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.