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Finding the Fourth Proportional to 7,586.70, 10,470 and 4,229.54

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Solution

The fourth proportional to 7,586.70, 10,470 and 4,229.54 is: 5,836.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,586.70 : 10,470 = 4,229.54 : x
  2. Step 2: Convert to fraction form
    7,586.70/10,470 = 4,229.54/x
  3. Step 3: Cross multiply
    7,586.70x = 10,470 × 4,229.54
  4. Step 4: Simplify right side
    7,586.70x = 44,283,231.45
  5. Step 5: Solve for x
    x = 44,283,231.45/7,586.70
  6. Step 6: Final answer
    x = 5,836.96

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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.