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Finding the Fourth Proportional to 6,034.22, 9,047.97 and 3,070.81

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Solution

The fourth proportional to 6,034.22, 9,047.97 and 3,070.81 is: 4,604.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,034.22 : 9,047.97 = 3,070.81 : x
  2. Step 2: Convert to fraction form
    6,034.22/9,047.97 = 3,070.81/x
  3. Step 3: Cross multiply
    6,034.22x = 9,047.97 × 3,070.81
  4. Step 4: Simplify right side
    6,034.22x = 27,784,595.11
  5. Step 5: Solve for x
    x = 27,784,595.11/6,034.22
  6. Step 6: Final answer
    x = 4,604.50

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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.