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Finding the Fourth Proportional to 6,057.54, 9,077.04 and 4,075.83

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Solution

The fourth proportional to 6,057.54, 9,077.04 and 4,075.83 is: 6,107.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,057.54 : 9,077.04 = 4,075.83 : x
  2. Step 2: Convert to fraction form
    6,057.54/9,077.04 = 4,075.83/x
  3. Step 3: Cross multiply
    6,057.54x = 9,077.04 × 4,075.83
  4. Step 4: Simplify right side
    6,057.54x = 36,996,434.95
  5. Step 5: Solve for x
    x = 36,996,434.95/6,057.54
  6. Step 6: Final answer
    x = 6,107.50

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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.