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Finding the Fourth Proportional to 8,109.32, 12,163.98 and 1,953.32

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Solution

The fourth proportional to 8,109.32, 12,163.98 and 1,953.32 is: 2,929.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,109.32 : 12,163.98 = 1,953.32 : x
  2. Step 2: Convert to fraction form
    8,109.32/12,163.98 = 1,953.32/x
  3. Step 3: Cross multiply
    8,109.32x = 12,163.98 × 1,953.32
  4. Step 4: Simplify right side
    8,109.32x = 23,760,145.41
  5. Step 5: Solve for x
    x = 23,760,145.41/8,109.32
  6. Step 6: Final answer
    x = 2,929.98

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