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Finding the Fourth Proportional to 6,556, 9,045.36 and 3,902.08

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Solution

The fourth proportional to 6,556, 9,045.36 and 3,902.08 is: 5,383.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,556 : 9,045.36 = 3,902.08 : x
  2. Step 2: Convert to fraction form
    6,556/9,045.36 = 3,902.08/x
  3. Step 3: Cross multiply
    6,556x = 9,045.36 × 3,902.08
  4. Step 4: Simplify right side
    6,556x = 35,295,718.35
  5. Step 5: Solve for x
    x = 35,295,718.35/6,556
  6. Step 6: Final answer
    x = 5,383.73

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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.