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Finding the Fourth Proportional to 6,638.40, 9,956.50 and 2,477.32

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Solution

The fourth proportional to 6,638.40, 9,956.50 and 2,477.32 is: 3,715.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,638.40 : 9,956.50 = 2,477.32 : x
  2. Step 2: Convert to fraction form
    6,638.40/9,956.50 = 2,477.32/x
  3. Step 3: Cross multiply
    6,638.40x = 9,956.50 × 2,477.32
  4. Step 4: Simplify right side
    6,638.40x = 24,665,436.58
  5. Step 5: Solve for x
    x = 24,665,436.58/6,638.40
  6. Step 6: Final answer
    x = 3,715.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.