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Finding the Fourth Proportional to 6,820.58, 10,228.69 and 2,202.50

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Solution

The fourth proportional to 6,820.58, 10,228.69 and 2,202.50 is: 3,303.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,820.58 : 10,228.69 = 2,202.50 : x
  2. Step 2: Convert to fraction form
    6,820.58/10,228.69 = 2,202.50/x
  3. Step 3: Cross multiply
    6,820.58x = 10,228.69 × 2,202.50
  4. Step 4: Simplify right side
    6,820.58x = 22,528,689.73
  5. Step 5: Solve for x
    x = 22,528,689.73/6,820.58
  6. Step 6: Final answer
    x = 3,303.05

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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.