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Finding the Fourth Proportional to 13,992.70, 20,975.86 and 6,966.07

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Solution

The fourth proportional to 13,992.70, 20,975.86 and 6,966.07 is: 10,442.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,992.70 : 20,975.86 = 6,966.07 : x
  2. Step 2: Convert to fraction form
    13,992.70/20,975.86 = 6,966.07/x
  3. Step 3: Cross multiply
    13,992.70x = 20,975.86 × 6,966.07
  4. Step 4: Simplify right side
    13,992.70x = 146,119,169.36
  5. Step 5: Solve for x
    x = 146,119,169.36/13,992.70
  6. Step 6: Final answer
    x = 10,442.53

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1.5x scale

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.