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Finding the Fourth Proportional to 4,937.88, 6,813 and 2,947.56

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Solution

The fourth proportional to 4,937.88, 6,813 and 2,947.56 is: 4,066.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,937.88 : 6,813 = 2,947.56 : x
  2. Step 2: Convert to fraction form
    4,937.88/6,813 = 2,947.56/x
  3. Step 3: Cross multiply
    4,937.88x = 6,813 × 2,947.56
  4. Step 4: Simplify right side
    4,937.88x = 20,081,726.28
  5. Step 5: Solve for x
    x = 20,081,726.28/4,937.88
  6. Step 6: Final answer
    x = 4,066.87

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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.