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Finding the Fourth Proportional to 4,750.62, 7,123.32 and 1,462.80

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Solution

The fourth proportional to 4,750.62, 7,123.32 and 1,462.80 is: 2,193.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,750.62 : 7,123.32 = 1,462.80 : x
  2. Step 2: Convert to fraction form
    4,750.62/7,123.32 = 1,462.80/x
  3. Step 3: Cross multiply
    4,750.62x = 7,123.32 × 1,462.80
  4. Step 4: Simplify right side
    4,750.62x = 10,419,992.50
  5. Step 5: Solve for x
    x = 10,419,992.50/4,750.62
  6. Step 6: Final answer
    x = 2,193.40

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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.