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Finding the Fourth Proportional to 11,597.57, 16,000.26 and 8,579.90

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Solution

The fourth proportional to 11,597.57, 16,000.26 and 8,579.90 is: 11,837.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,597.57 : 16,000.26 = 8,579.90 : x
  2. Step 2: Convert to fraction form
    11,597.57/16,000.26 = 8,579.90/x
  3. Step 3: Cross multiply
    11,597.57x = 16,000.26 × 8,579.90
  4. Step 4: Simplify right side
    11,597.57x = 137,280,630.77
  5. Step 5: Solve for x
    x = 137,280,630.77/11,597.57
  6. Step 6: Final answer
    x = 11,837.02

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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.