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Finding the Fourth Proportional to 4,661.50, 6,992.26 and 1,198.76

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Solution

The fourth proportional to 4,661.50, 6,992.26 and 1,198.76 is: 1,798.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.50 : 6,992.26 = 1,198.76 : x
  2. Step 2: Convert to fraction form
    4,661.50/6,992.26 = 1,198.76/x
  3. Step 3: Cross multiply
    4,661.50x = 6,992.26 × 1,198.76
  4. Step 4: Simplify right side
    4,661.50x = 8,382,041.60
  5. Step 5: Solve for x
    x = 8,382,041.60/4,661.50
  6. Step 6: Final answer
    x = 1,798.14

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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.