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Finding the Fourth Proportional to 7,194.66, 10,792 and 4,114.50

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Solution

The fourth proportional to 7,194.66, 10,792 and 4,114.50 is: 6,171.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,194.66 : 10,792 = 4,114.50 : x
  2. Step 2: Convert to fraction form
    7,194.66/10,792 = 4,114.50/x
  3. Step 3: Cross multiply
    7,194.66x = 10,792 × 4,114.50
  4. Step 4: Simplify right side
    7,194.66x = 44,403,684
  5. Step 5: Solve for x
    x = 44,403,684/7,194.66
  6. Step 6: Final answer
    x = 6,171.76

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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.