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Finding the Fourth Proportional to 7,762.56, 11,625.60 and 6,589.44

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Solution

The fourth proportional to 7,762.56, 11,625.60 and 6,589.44 is: 9,868.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.56 : 11,625.60 = 6,589.44 : x
  2. Step 2: Convert to fraction form
    7,762.56/11,625.60 = 6,589.44/x
  3. Step 3: Cross multiply
    7,762.56x = 11,625.60 × 6,589.44
  4. Step 4: Simplify right side
    7,762.56x = 76,606,193.66
  5. Step 5: Solve for x
    x = 76,606,193.66/7,762.56
  6. Step 6: Final answer
    x = 9,868.68

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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.