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Finding the Fourth Proportional to 11,657.87, 16,087.87 and 6,352.69

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Solution

The fourth proportional to 11,657.87, 16,087.87 and 6,352.69 is: 8,766.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.87 : 16,087.87 = 6,352.69 : x
  2. Step 2: Convert to fraction form
    11,657.87/16,087.87 = 6,352.69/x
  3. Step 3: Cross multiply
    11,657.87x = 16,087.87 × 6,352.69
  4. Step 4: Simplify right side
    11,657.87x = 102,201,194.77
  5. Step 5: Solve for x
    x = 102,201,194.77/11,657.87
  6. Step 6: Final answer
    x = 8,766.71

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Half scale
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Double scale
Find fourth proportional to 11,658.87, 16,089.25 and 6,353.69
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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.