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Finding the Fourth Proportional to 4,906.84, 6,771.12 and 2,810.92

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Solution

The fourth proportional to 4,906.84, 6,771.12 and 2,810.92 is: 3,878.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.84 : 6,771.12 = 2,810.92 : x
  2. Step 2: Convert to fraction form
    4,906.84/6,771.12 = 2,810.92/x
  3. Step 3: Cross multiply
    4,906.84x = 6,771.12 × 2,810.92
  4. Step 4: Simplify right side
    4,906.84x = 19,033,076.63
  5. Step 5: Solve for x
    x = 19,033,076.63/4,906.84
  6. Step 6: Final answer
    x = 3,878.89

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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.