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Finding the Fourth Proportional to 6,034.97, 9,054.32 and 4,068.50

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Solution

The fourth proportional to 6,034.97, 9,054.32 and 4,068.50 is: 6,103.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,034.97 : 9,054.32 = 4,068.50 : x
  2. Step 2: Convert to fraction form
    6,034.97/9,054.32 = 4,068.50/x
  3. Step 3: Cross multiply
    6,034.97x = 9,054.32 × 4,068.50
  4. Step 4: Simplify right side
    6,034.97x = 36,837,435.31
  5. Step 5: Solve for x
    x = 36,837,435.31/6,034.97
  6. Step 6: Final answer
    x = 6,103.99

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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.