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Finding the Fourth Proportional to 6,194.10, 9,276 and 5,594.38

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Solution

The fourth proportional to 6,194.10, 9,276 and 5,594.38 is: 8,377.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.10 : 9,276 = 5,594.38 : x
  2. Step 2: Convert to fraction form
    6,194.10/9,276 = 5,594.38/x
  3. Step 3: Cross multiply
    6,194.10x = 9,276 × 5,594.38
  4. Step 4: Simplify right side
    6,194.10x = 51,893,468.88
  5. Step 5: Solve for x
    x = 51,893,468.88/6,194.10
  6. Step 6: Final answer
    x = 8,377.89

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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.