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Finding the Fourth Proportional to 6,178.41, 9,268.02 and 1,795.50

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Solution

The fourth proportional to 6,178.41, 9,268.02 and 1,795.50 is: 2,693.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178.41 : 9,268.02 = 1,795.50 : x
  2. Step 2: Convert to fraction form
    6,178.41/9,268.02 = 1,795.50/x
  3. Step 3: Cross multiply
    6,178.41x = 9,268.02 × 1,795.50
  4. Step 4: Simplify right side
    6,178.41x = 16,640,729.91
  5. Step 5: Solve for x
    x = 16,640,729.91/6,178.41
  6. Step 6: Final answer
    x = 2,693.37

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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.