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Finding the Fourth Proportional to 6,497.78, 9,741.90 and 4,412.60

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Solution

The fourth proportional to 6,497.78, 9,741.90 and 4,412.60 is: 6,615.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.78 : 9,741.90 = 4,412.60 : x
  2. Step 2: Convert to fraction form
    6,497.78/9,741.90 = 4,412.60/x
  3. Step 3: Cross multiply
    6,497.78x = 9,741.90 × 4,412.60
  4. Step 4: Simplify right side
    6,497.78x = 42,987,107.94
  5. Step 5: Solve for x
    x = 42,987,107.94/6,497.78
  6. Step 6: Final answer
    x = 6,615.66

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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.