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Finding the Fourth Proportional to 6,172.86, 9,260.10 and 1,790.22

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Solution

The fourth proportional to 6,172.86, 9,260.10 and 1,790.22 is: 2,685.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,172.86 : 9,260.10 = 1,790.22 : x
  2. Step 2: Convert to fraction form
    6,172.86/9,260.10 = 1,790.22/x
  3. Step 3: Cross multiply
    6,172.86x = 9,260.10 × 1,790.22
  4. Step 4: Simplify right side
    6,172.86x = 16,577,616.22
  5. Step 5: Solve for x
    x = 16,577,616.22/6,172.86
  6. Step 6: Final answer
    x = 2,685.56

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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.