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Finding the Fourth Proportional to 6,318.60, 9,477.93 and 1,638.28

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Solution

The fourth proportional to 6,318.60, 9,477.93 and 1,638.28 is: 2,457.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,318.60 : 9,477.93 = 1,638.28 : x
  2. Step 2: Convert to fraction form
    6,318.60/9,477.93 = 1,638.28/x
  3. Step 3: Cross multiply
    6,318.60x = 9,477.93 × 1,638.28
  4. Step 4: Simplify right side
    6,318.60x = 15,527,503.16
  5. Step 5: Solve for x
    x = 15,527,503.16/6,318.60
  6. Step 6: Final answer
    x = 2,457.43

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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.