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Finding the Fourth Proportional to 9,777.68, 14,665.53 and 2,757.14

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Solution

The fourth proportional to 9,777.68, 14,665.53 and 2,757.14 is: 4,135.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.68 : 14,665.53 = 2,757.14 : x
  2. Step 2: Convert to fraction form
    9,777.68/14,665.53 = 2,757.14/x
  3. Step 3: Cross multiply
    9,777.68x = 14,665.53 × 2,757.14
  4. Step 4: Simplify right side
    9,777.68x = 40,434,919.38
  5. Step 5: Solve for x
    x = 40,434,919.38/9,777.68
  6. Step 6: Final answer
    x = 4,135.43

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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.