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Finding the Fourth Proportional to 6,733.40, 9,288.74 and 4,498.27

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Solution

The fourth proportional to 6,733.40, 9,288.74 and 4,498.27 is: 6,205.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,733.40 : 9,288.74 = 4,498.27 : x
  2. Step 2: Convert to fraction form
    6,733.40/9,288.74 = 4,498.27/x
  3. Step 3: Cross multiply
    6,733.40x = 9,288.74 × 4,498.27
  4. Step 4: Simplify right side
    6,733.40x = 41,783,248.50
  5. Step 5: Solve for x
    x = 41,783,248.50/6,733.40
  6. Step 6: Final answer
    x = 6,205.38

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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.