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Finding the Fourth Proportional to 4,980.02, 7,469.76 and 1,517

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Solution

The fourth proportional to 4,980.02, 7,469.76 and 1,517 is: 2,275.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,980.02 : 7,469.76 = 1,517 : x
  2. Step 2: Convert to fraction form
    4,980.02/7,469.76 = 1,517/x
  3. Step 3: Cross multiply
    4,980.02x = 7,469.76 × 1,517
  4. Step 4: Simplify right side
    4,980.02x = 11,331,625.92
  5. Step 5: Solve for x
    x = 11,331,625.92/4,980.02
  6. Step 6: Final answer
    x = 2,275.42

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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.