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Finding the Fourth Proportional to 6,382.83, 9,574.74 and 2,000.25

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Solution

The fourth proportional to 6,382.83, 9,574.74 and 2,000.25 is: 3,000.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,382.83 : 9,574.74 = 2,000.25 : x
  2. Step 2: Convert to fraction form
    6,382.83/9,574.74 = 2,000.25/x
  3. Step 3: Cross multiply
    6,382.83x = 9,574.74 × 2,000.25
  4. Step 4: Simplify right side
    6,382.83x = 19,151,873.69
  5. Step 5: Solve for x
    x = 19,151,873.69/6,382.83
  6. Step 6: Final answer
    x = 3,000.53

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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.