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Finding the Fourth Proportional to 4,797.24, 7,198.74 and 1,719.48

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Solution

The fourth proportional to 4,797.24, 7,198.74 and 1,719.48 is: 2,580.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,797.24 : 7,198.74 = 1,719.48 : x
  2. Step 2: Convert to fraction form
    4,797.24/7,198.74 = 1,719.48/x
  3. Step 3: Cross multiply
    4,797.24x = 7,198.74 × 1,719.48
  4. Step 4: Simplify right side
    4,797.24x = 12,378,089.46
  5. Step 5: Solve for x
    x = 12,378,089.46/4,797.24
  6. Step 6: Final answer
    x = 2,580.25

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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.