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Finding the Fourth Proportional to 7,198.94, 10,795.95 and 3,498.80

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Solution

The fourth proportional to 7,198.94, 10,795.95 and 3,498.80 is: 5,247.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198.94 : 10,795.95 = 3,498.80 : x
  2. Step 2: Convert to fraction form
    7,198.94/10,795.95 = 3,498.80/x
  3. Step 3: Cross multiply
    7,198.94x = 10,795.95 × 3,498.80
  4. Step 4: Simplify right side
    7,198.94x = 37,772,815.88
  5. Step 5: Solve for x
    x = 37,772,815.88/7,198.94
  6. Step 6: Final answer
    x = 5,247.00

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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.