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Finding the Fourth Proportional to 6,602.34, 9,904.32 and 2,441.64

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Solution

The fourth proportional to 6,602.34, 9,904.32 and 2,441.64 is: 3,662.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,602.34 : 9,904.32 = 2,441.64 : x
  2. Step 2: Convert to fraction form
    6,602.34/9,904.32 = 2,441.64/x
  3. Step 3: Cross multiply
    6,602.34x = 9,904.32 × 2,441.64
  4. Step 4: Simplify right side
    6,602.34x = 24,182,783.88
  5. Step 5: Solve for x
    x = 24,182,783.88/6,602.34
  6. Step 6: Final answer
    x = 3,662.76

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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.