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Finding the Fourth Proportional to 4,906.53, 6,770.25 and 2,810.25

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Solution

The fourth proportional to 4,906.53, 6,770.25 and 2,810.25 is: 3,877.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.53 : 6,770.25 = 2,810.25 : x
  2. Step 2: Convert to fraction form
    4,906.53/6,770.25 = 2,810.25/x
  3. Step 3: Cross multiply
    4,906.53x = 6,770.25 × 2,810.25
  4. Step 4: Simplify right side
    4,906.53x = 19,026,095.06
  5. Step 5: Solve for x
    x = 19,026,095.06/4,906.53
  6. Step 6: Final answer
    x = 3,877.71

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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.