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Finding the Fourth Proportional to 4,975.98, 7,463.43 and 1,465.62

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Solution

The fourth proportional to 4,975.98, 7,463.43 and 1,465.62 is: 2,198.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,975.98 : 7,463.43 = 1,465.62 : x
  2. Step 2: Convert to fraction form
    4,975.98/7,463.43 = 1,465.62/x
  3. Step 3: Cross multiply
    4,975.98x = 7,463.43 × 1,465.62
  4. Step 4: Simplify right side
    4,975.98x = 10,938,552.28
  5. Step 5: Solve for x
    x = 10,938,552.28/4,975.98
  6. Step 6: Final answer
    x = 2,198.27

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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.