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Finding the Fourth Proportional to 6,957.30, 10,435.94 and 4,621.86

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Solution

The fourth proportional to 6,957.30, 10,435.94 and 4,621.86 is: 6,932.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,957.30 : 10,435.94 = 4,621.86 : x
  2. Step 2: Convert to fraction form
    6,957.30/10,435.94 = 4,621.86/x
  3. Step 3: Cross multiply
    6,957.30x = 10,435.94 × 4,621.86
  4. Step 4: Simplify right side
    6,957.30x = 48,233,430.54
  5. Step 5: Solve for x
    x = 48,233,430.54/6,957.30
  6. Step 6: Final answer
    x = 6,932.78

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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.