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Finding the Fourth Proportional to 6,493.95, 9,741.97 and 2,278.37

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Solution

The fourth proportional to 6,493.95, 9,741.97 and 2,278.37 is: 3,417.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.95 : 9,741.97 = 2,278.37 : x
  2. Step 2: Convert to fraction form
    6,493.95/9,741.97 = 2,278.37/x
  3. Step 3: Cross multiply
    6,493.95x = 9,741.97 × 2,278.37
  4. Step 4: Simplify right side
    6,493.95x = 22,195,839.39
  5. Step 5: Solve for x
    x = 22,195,839.39/6,493.95
  6. Step 6: Final answer
    x = 3,417.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.