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Finding the Fourth Proportional to 6,735.96, 9,296.00 and 4,048

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Solution

The fourth proportional to 6,735.96, 9,296.00 and 4,048 is: 5,586.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735.96 : 9,296.00 = 4,048 : x
  2. Step 2: Convert to fraction form
    6,735.96/9,296.00 = 4,048/x
  3. Step 3: Cross multiply
    6,735.96x = 9,296.00 × 4,048
  4. Step 4: Simplify right side
    6,735.96x = 37,630,187.76
  5. Step 5: Solve for x
    x = 37,630,187.76/6,735.96
  6. Step 6: Final answer
    x = 5,586.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.