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Finding the Fourth Proportional to 4,663.20, 6,994.92 and 1,543.20

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Solution

The fourth proportional to 4,663.20, 6,994.92 and 1,543.20 is: 2,314.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.20 : 6,994.92 = 1,543.20 : x
  2. Step 2: Convert to fraction form
    4,663.20/6,994.92 = 1,543.20/x
  3. Step 3: Cross multiply
    4,663.20x = 6,994.92 × 1,543.20
  4. Step 4: Simplify right side
    4,663.20x = 10,794,560.54
  5. Step 5: Solve for x
    x = 10,794,560.54/4,663.20
  6. Step 6: Final answer
    x = 2,314.84

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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.