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Finding the Fourth Proportional to 7,516.55, 11,274.50 and 1,969.77

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Solution

The fourth proportional to 7,516.55, 11,274.50 and 1,969.77 is: 2,954.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,516.55 : 11,274.50 = 1,969.77 : x
  2. Step 2: Convert to fraction form
    7,516.55/11,274.50 = 1,969.77/x
  3. Step 3: Cross multiply
    7,516.55x = 11,274.50 × 1,969.77
  4. Step 4: Simplify right side
    7,516.55x = 22,208,162.02
  5. Step 5: Solve for x
    x = 22,208,162.02/7,516.55
  6. Step 6: Final answer
    x = 2,954.57

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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.