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Finding the Fourth Proportional to 6,674.50, 10,011.75 and 3,026.50

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Solution

The fourth proportional to 6,674.50, 10,011.75 and 3,026.50 is: 4,539.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,674.50 : 10,011.75 = 3,026.50 : x
  2. Step 2: Convert to fraction form
    6,674.50/10,011.75 = 3,026.50/x
  3. Step 3: Cross multiply
    6,674.50x = 10,011.75 × 3,026.50
  4. Step 4: Simplify right side
    6,674.50x = 30,300,561.38
  5. Step 5: Solve for x
    x = 30,300,561.38/6,674.50
  6. Step 6: Final answer
    x = 4,539.75

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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.