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Finding the Fourth Proportional to 7,180.63, 9,912.63 and 4,794.63

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Solution

The fourth proportional to 7,180.63, 9,912.63 and 4,794.63 is: 6,618.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,180.63 : 9,912.63 = 4,794.63 : x
  2. Step 2: Convert to fraction form
    7,180.63/9,912.63 = 4,794.63/x
  3. Step 3: Cross multiply
    7,180.63x = 9,912.63 × 4,794.63
  4. Step 4: Simplify right side
    7,180.63x = 47,527,393.18
  5. Step 5: Solve for x
    x = 47,527,393.18/7,180.63
  6. Step 6: Final answer
    x = 6,618.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.