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Finding the Fourth Proportional to 8,094.78, 11,165.99 and 4,945.50

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Solution

The fourth proportional to 8,094.78, 11,165.99 and 4,945.50 is: 6,821.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,094.78 : 11,165.99 = 4,945.50 : x
  2. Step 2: Convert to fraction form
    8,094.78/11,165.99 = 4,945.50/x
  3. Step 3: Cross multiply
    8,094.78x = 11,165.99 × 4,945.50
  4. Step 4: Simplify right side
    8,094.78x = 55,221,378.82
  5. Step 5: Solve for x
    x = 55,221,378.82/8,094.78
  6. Step 6: Final answer
    x = 6,821.85

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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.