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Finding the Fourth Proportional to 7,586.78, 10,469.50 and 4,755.67

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Solution

The fourth proportional to 7,586.78, 10,469.50 and 4,755.67 is: 6,562.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,586.78 : 10,469.50 = 4,755.67 : x
  2. Step 2: Convert to fraction form
    7,586.78/10,469.50 = 4,755.67/x
  3. Step 3: Cross multiply
    7,586.78x = 10,469.50 × 4,755.67
  4. Step 4: Simplify right side
    7,586.78x = 49,789,487.07
  5. Step 5: Solve for x
    x = 49,789,487.07/7,586.78
  6. Step 6: Final answer
    x = 6,562.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.