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Finding the Fourth Proportional to 13,871.80, 20,814.26 and 6,951.16

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Solution

The fourth proportional to 13,871.80, 20,814.26 and 6,951.16 is: 10,430.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,871.80 : 20,814.26 = 6,951.16 : x
  2. Step 2: Convert to fraction form
    13,871.80/20,814.26 = 6,951.16/x
  3. Step 3: Cross multiply
    13,871.80x = 20,814.26 × 6,951.16
  4. Step 4: Simplify right side
    13,871.80x = 144,683,251.54
  5. Step 5: Solve for x
    x = 144,683,251.54/13,871.80
  6. Step 6: Final answer
    x = 10,430.03

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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.