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Finding the Fourth Proportional to 13,970.57, 20,958.02 and 6,575.81

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Solution

The fourth proportional to 13,970.57, 20,958.02 and 6,575.81 is: 9,864.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,970.57 : 20,958.02 = 6,575.81 : x
  2. Step 2: Convert to fraction form
    13,970.57/20,958.02 = 6,575.81/x
  3. Step 3: Cross multiply
    13,970.57x = 20,958.02 × 6,575.81
  4. Step 4: Simplify right side
    13,970.57x = 137,815,957.50
  5. Step 5: Solve for x
    x = 137,815,957.50/13,970.57
  6. Step 6: Final answer
    x = 9,864.73

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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.