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Finding the Fourth Proportional to 8,185.71, 11,297.20 and 4,649.52

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Solution

The fourth proportional to 8,185.71, 11,297.20 and 4,649.52 is: 6,416.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,185.71 : 11,297.20 = 4,649.52 : x
  2. Step 2: Convert to fraction form
    8,185.71/11,297.20 = 4,649.52/x
  3. Step 3: Cross multiply
    8,185.71x = 11,297.20 × 4,649.52
  4. Step 4: Simplify right side
    8,185.71x = 52,526,557.34
  5. Step 5: Solve for x
    x = 52,526,557.34/8,185.71
  6. Step 6: Final answer
    x = 6,416.86

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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.