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Finding the Fourth Proportional to 6,133.50, 9,196.74 and 2,844.90

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Solution

The fourth proportional to 6,133.50, 9,196.74 and 2,844.90 is: 4,265.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,133.50 : 9,196.74 = 2,844.90 : x
  2. Step 2: Convert to fraction form
    6,133.50/9,196.74 = 2,844.90/x
  3. Step 3: Cross multiply
    6,133.50x = 9,196.74 × 2,844.90
  4. Step 4: Simplify right side
    6,133.50x = 26,163,805.63
  5. Step 5: Solve for x
    x = 26,163,805.63/6,133.50
  6. Step 6: Final answer
    x = 4,265.72

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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.