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Finding the Fourth Proportional to 7,697.62, 11,545.62 and 2,699.92

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Solution

The fourth proportional to 7,697.62, 11,545.62 and 2,699.92 is: 4,049.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.62 : 11,545.62 = 2,699.92 : x
  2. Step 2: Convert to fraction form
    7,697.62/11,545.62 = 2,699.92/x
  3. Step 3: Cross multiply
    7,697.62x = 11,545.62 × 2,699.92
  4. Step 4: Simplify right side
    7,697.62x = 31,172,250.35
  5. Step 5: Solve for x
    x = 31,172,250.35/7,697.62
  6. Step 6: Final answer
    x = 4,049.60

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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.