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Finding the Fourth Proportional to 6,556.48, 9,826.08 and 2,658.76

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Solution

The fourth proportional to 6,556.48, 9,826.08 and 2,658.76 is: 3,984.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,556.48 : 9,826.08 = 2,658.76 : x
  2. Step 2: Convert to fraction form
    6,556.48/9,826.08 = 2,658.76/x
  3. Step 3: Cross multiply
    6,556.48x = 9,826.08 × 2,658.76
  4. Step 4: Simplify right side
    6,556.48x = 26,125,188.46
  5. Step 5: Solve for x
    x = 26,125,188.46/6,556.48
  6. Step 6: Final answer
    x = 3,984.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.