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Finding the Fourth Proportional to 7,287.64, 10,930.82 and 3,777.48

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Solution

The fourth proportional to 7,287.64, 10,930.82 and 3,777.48 is: 5,665.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,287.64 : 10,930.82 = 3,777.48 : x
  2. Step 2: Convert to fraction form
    7,287.64/10,930.82 = 3,777.48/x
  3. Step 3: Cross multiply
    7,287.64x = 10,930.82 × 3,777.48
  4. Step 4: Simplify right side
    7,287.64x = 41,290,953.93
  5. Step 5: Solve for x
    x = 41,290,953.93/7,287.64
  6. Step 6: Final answer
    x = 5,665.89

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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.