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Finding the Fourth Proportional to 6,710.50, 10,066.02 and 2,093.50

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Solution

The fourth proportional to 6,710.50, 10,066.02 and 2,093.50 is: 3,140.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,710.50 : 10,066.02 = 2,093.50 : x
  2. Step 2: Convert to fraction form
    6,710.50/10,066.02 = 2,093.50/x
  3. Step 3: Cross multiply
    6,710.50x = 10,066.02 × 2,093.50
  4. Step 4: Simplify right side
    6,710.50x = 21,073,212.87
  5. Step 5: Solve for x
    x = 21,073,212.87/6,710.50
  6. Step 6: Final answer
    x = 3,140.33

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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.