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Finding the Fourth Proportional to 8,131.66, 12,197.52 and 1,975.66

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Solution

The fourth proportional to 8,131.66, 12,197.52 and 1,975.66 is: 2,963.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,131.66 : 12,197.52 = 1,975.66 : x
  2. Step 2: Convert to fraction form
    8,131.66/12,197.52 = 1,975.66/x
  3. Step 3: Cross multiply
    8,131.66x = 12,197.52 × 1,975.66
  4. Step 4: Simplify right side
    8,131.66x = 24,098,152.36
  5. Step 5: Solve for x
    x = 24,098,152.36/8,131.66
  6. Step 6: Final answer
    x = 2,963.50

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