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Finding the Fourth Proportional to 10,693.44, 14,757.12 and 6,094.44

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Solution

The fourth proportional to 10,693.44, 14,757.12 and 6,094.44 is: 8,410.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,693.44 : 14,757.12 = 6,094.44 : x
  2. Step 2: Convert to fraction form
    10,693.44/14,757.12 = 6,094.44/x
  3. Step 3: Cross multiply
    10,693.44x = 14,757.12 × 6,094.44
  4. Step 4: Simplify right side
    10,693.44x = 89,936,382.41
  5. Step 5: Solve for x
    x = 89,936,382.41/10,693.44
  6. Step 6: Final answer
    x = 8,410.43

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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.