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Finding the Fourth Proportional to 6,622.75, 9,935.34 and 3,160

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Solution

The fourth proportional to 6,622.75, 9,935.34 and 3,160 is: 4,740.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,622.75 : 9,935.34 = 3,160 : x
  2. Step 2: Convert to fraction form
    6,622.75/9,935.34 = 3,160/x
  3. Step 3: Cross multiply
    6,622.75x = 9,935.34 × 3,160
  4. Step 4: Simplify right side
    6,622.75x = 31,395,674.40
  5. Step 5: Solve for x
    x = 31,395,674.40/6,622.75
  6. Step 6: Final answer
    x = 4,740.58

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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.