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Finding the Fourth Proportional to 7,776.25, 11,665.55 and 2,509.50

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Solution

The fourth proportional to 7,776.25, 11,665.55 and 2,509.50 is: 3,764.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.25 : 11,665.55 = 2,509.50 : x
  2. Step 2: Convert to fraction form
    7,776.25/11,665.55 = 2,509.50/x
  3. Step 3: Cross multiply
    7,776.25x = 11,665.55 × 2,509.50
  4. Step 4: Simplify right side
    7,776.25x = 29,274,697.73
  5. Step 5: Solve for x
    x = 29,274,697.73/7,776.25
  6. Step 6: Final answer
    x = 3,764.63

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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.