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Finding the Fourth Proportional to 4,975.62, 7,464.38 and 1,465.62

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Solution

The fourth proportional to 4,975.62, 7,464.38 and 1,465.62 is: 2,198.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,975.62 : 7,464.38 = 1,465.62 : x
  2. Step 2: Convert to fraction form
    4,975.62/7,464.38 = 1,465.62/x
  3. Step 3: Cross multiply
    4,975.62x = 7,464.38 × 1,465.62
  4. Step 4: Simplify right side
    4,975.62x = 10,939,944.62
  5. Step 5: Solve for x
    x = 10,939,944.62/4,975.62
  6. Step 6: Final answer
    x = 2,198.71

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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.