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Finding the Fourth Proportional to 8,588.59, 11,763.45 and 8,084.23

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Solution

The fourth proportional to 8,588.59, 11,763.45 and 8,084.23 is: 11,072.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,588.59 : 11,763.45 = 8,084.23 : x
  2. Step 2: Convert to fraction form
    8,588.59/11,763.45 = 8,084.23/x
  3. Step 3: Cross multiply
    8,588.59x = 11,763.45 × 8,084.23
  4. Step 4: Simplify right side
    8,588.59x = 95,098,435.39
  5. Step 5: Solve for x
    x = 95,098,435.39/8,588.59
  6. Step 6: Final answer
    x = 11,072.65

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