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Finding the Fourth Proportional to 11,057.44, 15,259.10 and 6,089.44

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Solution

The fourth proportional to 11,057.44, 15,259.10 and 6,089.44 is: 8,403.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,057.44 : 15,259.10 = 6,089.44 : x
  2. Step 2: Convert to fraction form
    11,057.44/15,259.10 = 6,089.44/x
  3. Step 3: Cross multiply
    11,057.44x = 15,259.10 × 6,089.44
  4. Step 4: Simplify right side
    11,057.44x = 92,919,373.90
  5. Step 5: Solve for x
    x = 92,919,373.90/11,057.44
  6. Step 6: Final answer
    x = 8,403.34

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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.