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Finding the Fourth Proportional to 6,134.19, 9,201.09 and 1,751.65

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Solution

The fourth proportional to 6,134.19, 9,201.09 and 1,751.65 is: 2,627.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,134.19 : 9,201.09 = 1,751.65 : x
  2. Step 2: Convert to fraction form
    6,134.19/9,201.09 = 1,751.65/x
  3. Step 3: Cross multiply
    6,134.19x = 9,201.09 × 1,751.65
  4. Step 4: Simplify right side
    6,134.19x = 16,117,089.30
  5. Step 5: Solve for x
    x = 16,117,089.30/6,134.19
  6. Step 6: Final answer
    x = 2,627.42

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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.