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Finding the Fourth Proportional to 6,488.96, 9,733.44 and 5,192.96

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Solution

The fourth proportional to 6,488.96, 9,733.44 and 5,192.96 is: 7,789.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,488.96 : 9,733.44 = 5,192.96 : x
  2. Step 2: Convert to fraction form
    6,488.96/9,733.44 = 5,192.96/x
  3. Step 3: Cross multiply
    6,488.96x = 9,733.44 × 5,192.96
  4. Step 4: Simplify right side
    6,488.96x = 50,545,364.58
  5. Step 5: Solve for x
    x = 50,545,364.58/6,488.96
  6. Step 6: Final answer
    x = 7,789.44

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Similar ratio
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1.5x scale

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.