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Finding the Fourth Proportional to 12,191.70, 16,824.30 and 6,814.18

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Solution

The fourth proportional to 12,191.70, 16,824.30 and 6,814.18 is: 9,403.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,191.70 : 16,824.30 = 6,814.18 : x
  2. Step 2: Convert to fraction form
    12,191.70/16,824.30 = 6,814.18/x
  3. Step 3: Cross multiply
    12,191.70x = 16,824.30 × 6,814.18
  4. Step 4: Simplify right side
    12,191.70x = 114,643,808.57
  5. Step 5: Solve for x
    x = 114,643,808.57/12,191.70
  6. Step 6: Final answer
    x = 9,403.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.