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Finding the Fourth Proportional to 4,697.84, 6,480.09 and 3,021.44

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Solution

The fourth proportional to 4,697.84, 6,480.09 and 3,021.44 is: 4,167.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,697.84 : 6,480.09 = 3,021.44 : x
  2. Step 2: Convert to fraction form
    4,697.84/6,480.09 = 3,021.44/x
  3. Step 3: Cross multiply
    4,697.84x = 6,480.09 × 3,021.44
  4. Step 4: Simplify right side
    4,697.84x = 19,579,170.73
  5. Step 5: Solve for x
    x = 19,579,170.73/4,697.84
  6. Step 6: Final answer
    x = 4,167.69

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1.5x scale

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.