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Finding the Fourth Proportional to 14,716.62, 20,308.86 and 8,343

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Solution

The fourth proportional to 14,716.62, 20,308.86 and 8,343 is: 11,513.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,716.62 : 20,308.86 = 8,343 : x
  2. Step 2: Convert to fraction form
    14,716.62/20,308.86 = 8,343/x
  3. Step 3: Cross multiply
    14,716.62x = 20,308.86 × 8,343
  4. Step 4: Simplify right side
    14,716.62x = 169,436,818.98
  5. Step 5: Solve for x
    x = 169,436,818.98/14,716.62
  6. Step 6: Final answer
    x = 11,513.30

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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.