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Finding the Fourth Proportional to 7,669.70, 11,524.01 and 7,153.73

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Solution

The fourth proportional to 7,669.70, 11,524.01 and 7,153.73 is: 10,748.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,669.70 : 11,524.01 = 7,153.73 : x
  2. Step 2: Convert to fraction form
    7,669.70/11,524.01 = 7,153.73/x
  3. Step 3: Cross multiply
    7,669.70x = 11,524.01 × 7,153.73
  4. Step 4: Simplify right side
    7,669.70x = 82,439,562.67
  5. Step 5: Solve for x
    x = 82,439,562.67/7,669.70
  6. Step 6: Final answer
    x = 10,748.74

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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.