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Finding the Fourth Proportional to 8,187.25, 11,298.09 and 4,650.09

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Solution

The fourth proportional to 8,187.25, 11,298.09 and 4,650.09 is: 6,416.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,187.25 : 11,298.09 = 4,650.09 : x
  2. Step 2: Convert to fraction form
    8,187.25/11,298.09 = 4,650.09/x
  3. Step 3: Cross multiply
    8,187.25x = 11,298.09 × 4,650.09
  4. Step 4: Simplify right side
    8,187.25x = 52,537,135.33
  5. Step 5: Solve for x
    x = 52,537,135.33/8,187.25
  6. Step 6: Final answer
    x = 6,416.95

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Half scale
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Double scale
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Similar ratio
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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.