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Finding the Fourth Proportional to 7,183.62, 9,914.00 and 4,352.40

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Solution

The fourth proportional to 7,183.62, 9,914.00 and 4,352.40 is: 6,006.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,183.62 : 9,914.00 = 4,352.40 : x
  2. Step 2: Convert to fraction form
    7,183.62/9,914.00 = 4,352.40/x
  3. Step 3: Cross multiply
    7,183.62x = 9,914.00 × 4,352.40
  4. Step 4: Simplify right side
    7,183.62x = 43,149,671.84
  5. Step 5: Solve for x
    x = 43,149,671.84/7,183.62
  6. Step 6: Final answer
    x = 6,006.68

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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.