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Finding the Fourth Proportional to 19,777.14, 29,665.68 and 5,926.14

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Solution

The fourth proportional to 19,777.14, 29,665.68 and 5,926.14 is: 8,889.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,777.14 : 29,665.68 = 5,926.14 : x
  2. Step 2: Convert to fraction form
    19,777.14/29,665.68 = 5,926.14/x
  3. Step 3: Cross multiply
    19,777.14x = 29,665.68 × 5,926.14
  4. Step 4: Simplify right side
    19,777.14x = 175,802,972.88
  5. Step 5: Solve for x
    x = 175,802,972.88/19,777.14
  6. Step 6: Final answer
    x = 8,889.20

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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.