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Finding the Fourth Proportional to 8,194.87, 11,308.93 and 4,658.76

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Solution

The fourth proportional to 8,194.87, 11,308.93 and 4,658.76 is: 6,429.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.87 : 11,308.93 = 4,658.76 : x
  2. Step 2: Convert to fraction form
    8,194.87/11,308.93 = 4,658.76/x
  3. Step 3: Cross multiply
    8,194.87x = 11,308.93 × 4,658.76
  4. Step 4: Simplify right side
    8,194.87x = 52,685,590.73
  5. Step 5: Solve for x
    x = 52,685,590.73/8,194.87
  6. Step 6: Final answer
    x = 6,429.09

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Half scale
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Double scale
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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.