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Finding the Fourth Proportional to 6,297, 9,452.78 and 4,911.88

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Solution

The fourth proportional to 6,297, 9,452.78 and 4,911.88 is: 7,373.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297 : 9,452.78 = 4,911.88 : x
  2. Step 2: Convert to fraction form
    6,297/9,452.78 = 4,911.88/x
  3. Step 3: Cross multiply
    6,297x = 9,452.78 × 4,911.88
  4. Step 4: Simplify right side
    6,297x = 46,430,921.03
  5. Step 5: Solve for x
    x = 46,430,921.03/6,297
  6. Step 6: Final answer
    x = 7,373.50

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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.