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Finding the Fourth Proportional to 6,387.46, 9,574.97 and 3,054.85

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Solution

The fourth proportional to 6,387.46, 9,574.97 and 3,054.85 is: 4,579.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,387.46 : 9,574.97 = 3,054.85 : x
  2. Step 2: Convert to fraction form
    6,387.46/9,574.97 = 3,054.85/x
  3. Step 3: Cross multiply
    6,387.46x = 9,574.97 × 3,054.85
  4. Step 4: Simplify right side
    6,387.46x = 29,250,059.18
  5. Step 5: Solve for x
    x = 29,250,059.18/6,387.46
  6. Step 6: Final answer
    x = 4,579.29

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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.