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Finding the Fourth Proportional to 14,614.31, 21,909.16 and 5,844.44

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Solution

The fourth proportional to 14,614.31, 21,909.16 and 5,844.44 is: 8,761.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,614.31 : 21,909.16 = 5,844.44 : x
  2. Step 2: Convert to fraction form
    14,614.31/21,909.16 = 5,844.44/x
  3. Step 3: Cross multiply
    14,614.31x = 21,909.16 × 5,844.44
  4. Step 4: Simplify right side
    14,614.31x = 128,046,771.07
  5. Step 5: Solve for x
    x = 128,046,771.07/14,614.31
  6. Step 6: Final answer
    x = 8,761.74

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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.