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Finding the Fourth Proportional to 8,071.44, 12,036.54 and 7,997.63

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Solution

The fourth proportional to 8,071.44, 12,036.54 and 7,997.63 is: 11,926.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,071.44 : 12,036.54 = 7,997.63 : x
  2. Step 2: Convert to fraction form
    8,071.44/12,036.54 = 7,997.63/x
  3. Step 3: Cross multiply
    8,071.44x = 12,036.54 × 7,997.63
  4. Step 4: Simplify right side
    8,071.44x = 96,263,753.41
  5. Step 5: Solve for x
    x = 96,263,753.41/8,071.44
  6. Step 6: Final answer
    x = 11,926.47

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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 (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.