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Finding the Fourth Proportional to 6,354.36, 9,507.78 and 6,021

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Solution

The fourth proportional to 6,354.36, 9,507.78 and 6,021 is: 9,008.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354.36 : 9,507.78 = 6,021 : x
  2. Step 2: Convert to fraction form
    6,354.36/9,507.78 = 6,021/x
  3. Step 3: Cross multiply
    6,354.36x = 9,507.78 × 6,021
  4. Step 4: Simplify right side
    6,354.36x = 57,246,343.38
  5. Step 5: Solve for x
    x = 57,246,343.38/6,354.36
  6. Step 6: Final answer
    x = 9,008.99

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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.