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Finding the Fourth Proportional to 6,603.34, 9,905.82 and 2,442.64

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Solution

The fourth proportional to 6,603.34, 9,905.82 and 2,442.64 is: 3,664.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,603.34 : 9,905.82 = 2,442.64 : x
  2. Step 2: Convert to fraction form
    6,603.34/9,905.82 = 2,442.64/x
  3. Step 3: Cross multiply
    6,603.34x = 9,905.82 × 2,442.64
  4. Step 4: Simplify right side
    6,603.34x = 24,196,352.16
  5. Step 5: Solve for x
    x = 24,196,352.16/6,603.34
  6. Step 6: Final answer
    x = 3,664.26

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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.