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Finding the Fourth Proportional to 6,829.54, 10,237.92 and 6,220.88

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Solution

The fourth proportional to 6,829.54, 10,237.92 and 6,220.88 is: 9,325.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,829.54 : 10,237.92 = 6,220.88 : x
  2. Step 2: Convert to fraction form
    6,829.54/10,237.92 = 6,220.88/x
  3. Step 3: Cross multiply
    6,829.54x = 10,237.92 × 6,220.88
  4. Step 4: Simplify right side
    6,829.54x = 63,688,871.77
  5. Step 5: Solve for x
    x = 63,688,871.77/6,829.54
  6. Step 6: Final answer
    x = 9,325.50

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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.