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Finding the Fourth Proportional to 6,397.78, 9,583.96 and 5,004.60

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Solution

The fourth proportional to 6,397.78, 9,583.96 and 5,004.60 is: 7,496.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.78 : 9,583.96 = 5,004.60 : x
  2. Step 2: Convert to fraction form
    6,397.78/9,583.96 = 5,004.60/x
  3. Step 3: Cross multiply
    6,397.78x = 9,583.96 × 5,004.60
  4. Step 4: Simplify right side
    6,397.78x = 47,963,886.22
  5. Step 5: Solve for x
    x = 47,963,886.22/6,397.78
  6. Step 6: Final answer
    x = 7,496.96

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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.