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Finding the Fourth Proportional to 7,046.60, 10,583.60 and 5,489.78

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Solution

The fourth proportional to 7,046.60, 10,583.60 and 5,489.78 is: 8,245.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,046.60 : 10,583.60 = 5,489.78 : x
  2. Step 2: Convert to fraction form
    7,046.60/10,583.60 = 5,489.78/x
  3. Step 3: Cross multiply
    7,046.60x = 10,583.60 × 5,489.78
  4. Step 4: Simplify right side
    7,046.60x = 58,101,555.24
  5. Step 5: Solve for x
    x = 58,101,555.24/7,046.60
  6. Step 6: Final answer
    x = 8,245.34

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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.