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Finding the Fourth Proportional to 7,194.52, 10,769.22 and 4,960.24

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Solution

The fourth proportional to 7,194.52, 10,769.22 and 4,960.24 is: 7,424.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,194.52 : 10,769.22 = 4,960.24 : x
  2. Step 2: Convert to fraction form
    7,194.52/10,769.22 = 4,960.24/x
  3. Step 3: Cross multiply
    7,194.52x = 10,769.22 × 4,960.24
  4. Step 4: Simplify right side
    7,194.52x = 53,417,915.81
  5. Step 5: Solve for x
    x = 53,417,915.81/7,194.52
  6. Step 6: Final answer
    x = 7,424.81

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1.5x scale

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.