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Finding the Fourth Proportional to 7,566, 11,350.07 and 2,019.53

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Solution

The fourth proportional to 7,566, 11,350.07 and 2,019.53 is: 3,029.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,566 : 11,350.07 = 2,019.53 : x
  2. Step 2: Convert to fraction form
    7,566/11,350.07 = 2,019.53/x
  3. Step 3: Cross multiply
    7,566x = 11,350.07 × 2,019.53
  4. Step 4: Simplify right side
    7,566x = 22,921,740.02
  5. Step 5: Solve for x
    x = 22,921,740.02/7,566
  6. Step 6: Final answer
    x = 3,029.57

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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.