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Finding the Fourth Proportional to 6,317.57, 9,475.72 and 1,935.07

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Solution

The fourth proportional to 6,317.57, 9,475.72 and 1,935.07 is: 2,902.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,317.57 : 9,475.72 = 1,935.07 : x
  2. Step 2: Convert to fraction form
    6,317.57/9,475.72 = 1,935.07/x
  3. Step 3: Cross multiply
    6,317.57x = 9,475.72 × 1,935.07
  4. Step 4: Simplify right side
    6,317.57x = 18,336,181.50
  5. Step 5: Solve for x
    x = 18,336,181.50/6,317.57
  6. Step 6: Final answer
    x = 2,902.41

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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.