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Finding the Fourth Proportional to 6,194.55, 9,291.90 and 1,812.05

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Solution

The fourth proportional to 6,194.55, 9,291.90 and 1,812.05 is: 2,718.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.55 : 9,291.90 = 1,812.05 : x
  2. Step 2: Convert to fraction form
    6,194.55/9,291.90 = 1,812.05/x
  3. Step 3: Cross multiply
    6,194.55x = 9,291.90 × 1,812.05
  4. Step 4: Simplify right side
    6,194.55x = 16,837,340.94
  5. Step 5: Solve for x
    x = 16,837,340.94/6,194.55
  6. Step 6: Final answer
    x = 2,718.09

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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.