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Finding the Fourth Proportional to 6,225.94, 9,335.31 and 2,064.84

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Solution

The fourth proportional to 6,225.94, 9,335.31 and 2,064.84 is: 3,096.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,225.94 : 9,335.31 = 2,064.84 : x
  2. Step 2: Convert to fraction form
    6,225.94/9,335.31 = 2,064.84/x
  3. Step 3: Cross multiply
    6,225.94x = 9,335.31 × 2,064.84
  4. Step 4: Simplify right side
    6,225.94x = 19,275,921.50
  5. Step 5: Solve for x
    x = 19,275,921.50/6,225.94
  6. Step 6: Final answer
    x = 3,096.07

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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.