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Finding the Fourth Proportional to 6,556.16, 9,834.06 and 1,625.69

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Solution

The fourth proportional to 6,556.16, 9,834.06 and 1,625.69 is: 2,438.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,556.16 : 9,834.06 = 1,625.69 : x
  2. Step 2: Convert to fraction form
    6,556.16/9,834.06 = 1,625.69/x
  3. Step 3: Cross multiply
    6,556.16x = 9,834.06 × 1,625.69
  4. Step 4: Simplify right side
    6,556.16x = 15,987,133.00
  5. Step 5: Solve for x
    x = 15,987,133.00/6,556.16
  6. Step 6: Final answer
    x = 2,438.49

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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.