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Finding the Fourth Proportional to 6,338.22, 9,501 and 3,000.51

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Solution

The fourth proportional to 6,338.22, 9,501 and 3,000.51 is: 4,497.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.22 : 9,501 = 3,000.51 : x
  2. Step 2: Convert to fraction form
    6,338.22/9,501 = 3,000.51/x
  3. Step 3: Cross multiply
    6,338.22x = 9,501 × 3,000.51
  4. Step 4: Simplify right side
    6,338.22x = 28,507,845.51
  5. Step 5: Solve for x
    x = 28,507,845.51/6,338.22
  6. Step 6: Final answer
    x = 4,497.77

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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.