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Finding the Fourth Proportional to 6,957.01, 10,435.38 and 1,762.75

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Solution

The fourth proportional to 6,957.01, 10,435.38 and 1,762.75 is: 2,644.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,957.01 : 10,435.38 = 1,762.75 : x
  2. Step 2: Convert to fraction form
    6,957.01/10,435.38 = 1,762.75/x
  3. Step 3: Cross multiply
    6,957.01x = 10,435.38 × 1,762.75
  4. Step 4: Simplify right side
    6,957.01x = 18,394,966.10
  5. Step 5: Solve for x
    x = 18,394,966.10/6,957.01
  6. Step 6: Final answer
    x = 2,644.09

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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.