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Finding the Fourth Proportional to 5,465.60, 8,183.82 and 4,809.50

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Solution

The fourth proportional to 5,465.60, 8,183.82 and 4,809.50 is: 7,201.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,465.60 : 8,183.82 = 4,809.50 : x
  2. Step 2: Convert to fraction form
    5,465.60/8,183.82 = 4,809.50/x
  3. Step 3: Cross multiply
    5,465.60x = 8,183.82 × 4,809.50
  4. Step 4: Simplify right side
    5,465.60x = 39,360,082.29
  5. Step 5: Solve for x
    x = 39,360,082.29/5,465.60
  6. Step 6: Final answer
    x = 7,201.42

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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.