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Finding the Fourth Proportional to 8,114.99, 12,191.93 and 5,198.99

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Solution

The fourth proportional to 8,114.99, 12,191.93 and 5,198.99 is: 7,810.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.99 : 12,191.93 = 5,198.99 : x
  2. Step 2: Convert to fraction form
    8,114.99/12,191.93 = 5,198.99/x
  3. Step 3: Cross multiply
    8,114.99x = 12,191.93 × 5,198.99
  4. Step 4: Simplify right side
    8,114.99x = 63,385,696.16
  5. Step 5: Solve for x
    x = 63,385,696.16/8,114.99
  6. Step 6: Final answer
    x = 7,810.94

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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.