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Finding the Fourth Proportional to 14,649.53, 20,216.59 and 8,274.83

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Solution

The fourth proportional to 14,649.53, 20,216.59 and 8,274.83 is: 11,419.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,649.53 : 20,216.59 = 8,274.83 : x
  2. Step 2: Convert to fraction form
    14,649.53/20,216.59 = 8,274.83/x
  3. Step 3: Cross multiply
    14,649.53x = 20,216.59 × 8,274.83
  4. Step 4: Simplify right side
    14,649.53x = 167,288,723.66
  5. Step 5: Solve for x
    x = 167,288,723.66/14,649.53
  6. Step 6: Final answer
    x = 11,419.40

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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.