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Finding the Fourth Proportional to 6,385.22, 9,574.73 and 2,225.46

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Solution

The fourth proportional to 6,385.22, 9,574.73 and 2,225.46 is: 3,337.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,385.22 : 9,574.73 = 2,225.46 : x
  2. Step 2: Convert to fraction form
    6,385.22/9,574.73 = 2,225.46/x
  3. Step 3: Cross multiply
    6,385.22x = 9,574.73 × 2,225.46
  4. Step 4: Simplify right side
    6,385.22x = 21,308,167.50
  5. Step 5: Solve for x
    x = 21,308,167.50/6,385.22
  6. Step 6: Final answer
    x = 3,337.11

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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.