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Finding the Fourth Proportional to 6,957.85, 10,441.41 and 2,575.19

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Solution

The fourth proportional to 6,957.85, 10,441.41 and 2,575.19 is: 3,864.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,957.85 : 10,441.41 = 2,575.19 : x
  2. Step 2: Convert to fraction form
    6,957.85/10,441.41 = 2,575.19/x
  3. Step 3: Cross multiply
    6,957.85x = 10,441.41 × 2,575.19
  4. Step 4: Simplify right side
    6,957.85x = 26,888,631.06
  5. Step 5: Solve for x
    x = 26,888,631.06/6,957.85
  6. Step 6: Final answer
    x = 3,864.50

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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.