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Finding the Fourth Proportional to 4,980.64, 7,471.12 and 1,517.92

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Solution

The fourth proportional to 4,980.64, 7,471.12 and 1,517.92 is: 2,276.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,980.64 : 7,471.12 = 1,517.92 : x
  2. Step 2: Convert to fraction form
    4,980.64/7,471.12 = 1,517.92/x
  3. Step 3: Cross multiply
    4,980.64x = 7,471.12 × 1,517.92
  4. Step 4: Simplify right side
    4,980.64x = 11,340,562.47
  5. Step 5: Solve for x
    x = 11,340,562.47/4,980.64
  6. Step 6: Final answer
    x = 2,276.93

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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.