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Finding the Fourth Proportional to 6,184.86, 9,277.02 and 3,021

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Solution

The fourth proportional to 6,184.86, 9,277.02 and 3,021 is: 4,531.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184.86 : 9,277.02 = 3,021 : x
  2. Step 2: Convert to fraction form
    6,184.86/9,277.02 = 3,021/x
  3. Step 3: Cross multiply
    6,184.86x = 9,277.02 × 3,021
  4. Step 4: Simplify right side
    6,184.86x = 28,025,877.42
  5. Step 5: Solve for x
    x = 28,025,877.42/6,184.86
  6. Step 6: Final answer
    x = 4,531.37

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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.