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Finding the Fourth Proportional to 8,611.32, 11,888.46 and 8,084.28

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Solution

The fourth proportional to 8,611.32, 11,888.46 and 8,084.28 is: 11,160.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,611.32 : 11,888.46 = 8,084.28 : x
  2. Step 2: Convert to fraction form
    8,611.32/11,888.46 = 8,084.28/x
  3. Step 3: Cross multiply
    8,611.32x = 11,888.46 × 8,084.28
  4. Step 4: Simplify right side
    8,611.32x = 96,109,639.41
  5. Step 5: Solve for x
    x = 96,109,639.41/8,611.32
  6. Step 6: Final answer
    x = 11,160.85

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Half scale
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Double scale
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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.