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Finding the Fourth Proportional to 14,711.94, 20,301 and 8,338.02

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Solution

The fourth proportional to 14,711.94, 20,301 and 8,338.02 is: 11,505.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,711.94 : 20,301 = 8,338.02 : x
  2. Step 2: Convert to fraction form
    14,711.94/20,301 = 8,338.02/x
  3. Step 3: Cross multiply
    14,711.94x = 20,301 × 8,338.02
  4. Step 4: Simplify right side
    14,711.94x = 169,270,144.02
  5. Step 5: Solve for x
    x = 169,270,144.02/14,711.94
  6. Step 6: Final answer
    x = 11,505.63

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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.