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Finding the Fourth Proportional to 6,583.54, 9,879.35 and 5,968.34

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Solution

The fourth proportional to 6,583.54, 9,879.35 and 5,968.34 is: 8,956.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,583.54 : 9,879.35 = 5,968.34 : x
  2. Step 2: Convert to fraction form
    6,583.54/9,879.35 = 5,968.34/x
  3. Step 3: Cross multiply
    6,583.54x = 9,879.35 × 5,968.34
  4. Step 4: Simplify right side
    6,583.54x = 58,963,319.78
  5. Step 5: Solve for x
    x = 58,963,319.78/6,583.54
  6. Step 6: Final answer
    x = 8,956.18

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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.