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Finding the Fourth Proportional to 4,858.42, 6,703.95 and 2,734.06

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Solution

The fourth proportional to 4,858.42, 6,703.95 and 2,734.06 is: 3,772.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,858.42 : 6,703.95 = 2,734.06 : x
  2. Step 2: Convert to fraction form
    4,858.42/6,703.95 = 2,734.06/x
  3. Step 3: Cross multiply
    4,858.42x = 6,703.95 × 2,734.06
  4. Step 4: Simplify right side
    4,858.42x = 18,329,001.54
  5. Step 5: Solve for x
    x = 18,329,001.54/4,858.42
  6. Step 6: Final answer
    x = 3,772.63

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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.