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Finding the Fourth Proportional to 4,943.14, 7,415.92 and 3,485.14

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Solution

The fourth proportional to 4,943.14, 7,415.92 and 3,485.14 is: 5,228.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,943.14 : 7,415.92 = 3,485.14 : x
  2. Step 2: Convert to fraction form
    4,943.14/7,415.92 = 3,485.14/x
  3. Step 3: Cross multiply
    4,943.14x = 7,415.92 × 3,485.14
  4. Step 4: Simplify right side
    4,943.14x = 25,845,519.43
  5. Step 5: Solve for x
    x = 25,845,519.43/4,943.14
  6. Step 6: Final answer
    x = 5,228.56

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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.