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Finding the Fourth Proportional to 6,318.02, 9,477.09 and 2,421.50

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Solution

The fourth proportional to 6,318.02, 9,477.09 and 2,421.50 is: 3,632.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,318.02 : 9,477.09 = 2,421.50 : x
  2. Step 2: Convert to fraction form
    6,318.02/9,477.09 = 2,421.50/x
  3. Step 3: Cross multiply
    6,318.02x = 9,477.09 × 2,421.50
  4. Step 4: Simplify right side
    6,318.02x = 22,948,773.44
  5. Step 5: Solve for x
    x = 22,948,773.44/6,318.02
  6. Step 6: Final answer
    x = 3,632.27

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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.