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Finding the Fourth Proportional to 6,071.35, 9,099.72 and 2,560

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Solution

The fourth proportional to 6,071.35, 9,099.72 and 2,560 is: 3,836.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,071.35 : 9,099.72 = 2,560 : x
  2. Step 2: Convert to fraction form
    6,071.35/9,099.72 = 2,560/x
  3. Step 3: Cross multiply
    6,071.35x = 9,099.72 × 2,560
  4. Step 4: Simplify right side
    6,071.35x = 23,295,270.40
  5. Step 5: Solve for x
    x = 23,295,270.40/6,071.35
  6. Step 6: Final answer
    x = 3,836.92

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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.