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Finding the Fourth Proportional to 6,469.64, 9,703.74 and 1,852.52

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Solution

The fourth proportional to 6,469.64, 9,703.74 and 1,852.52 is: 2,778.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469.64 : 9,703.74 = 1,852.52 : x
  2. Step 2: Convert to fraction form
    6,469.64/9,703.74 = 1,852.52/x
  3. Step 3: Cross multiply
    6,469.64x = 9,703.74 × 1,852.52
  4. Step 4: Simplify right side
    6,469.64x = 17,976,372.42
  5. Step 5: Solve for x
    x = 17,976,372.42/6,469.64
  6. Step 6: Final answer
    x = 2,778.57

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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.