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Finding the Fourth Proportional to 7,773.99, 11,657.55 and 2,226.07

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Solution

The fourth proportional to 7,773.99, 11,657.55 and 2,226.07 is: 3,338.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773.99 : 11,657.55 = 2,226.07 : x
  2. Step 2: Convert to fraction form
    7,773.99/11,657.55 = 2,226.07/x
  3. Step 3: Cross multiply
    7,773.99x = 11,657.55 × 2,226.07
  4. Step 4: Simplify right side
    7,773.99x = 25,950,522.33
  5. Step 5: Solve for x
    x = 25,950,522.33/7,773.99
  6. Step 6: Final answer
    x = 3,338.12

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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.