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Finding the Fourth Proportional to 4,762.70, 7,145.52 and 2,132.42

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Solution

The fourth proportional to 4,762.70, 7,145.52 and 2,132.42 is: 3,199.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.70 : 7,145.52 = 2,132.42 : x
  2. Step 2: Convert to fraction form
    4,762.70/7,145.52 = 2,132.42/x
  3. Step 3: Cross multiply
    4,762.70x = 7,145.52 × 2,132.42
  4. Step 4: Simplify right side
    4,762.70x = 15,237,249.76
  5. Step 5: Solve for x
    x = 15,237,249.76/4,762.70
  6. Step 6: Final answer
    x = 3,199.29

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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.