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Finding the Fourth Proportional to 6,467.94, 9,706.77 and 4,741.02

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Solution

The fourth proportional to 6,467.94, 9,706.77 and 4,741.02 is: 7,115.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467.94 : 9,706.77 = 4,741.02 : x
  2. Step 2: Convert to fraction form
    6,467.94/9,706.77 = 4,741.02/x
  3. Step 3: Cross multiply
    6,467.94x = 9,706.77 × 4,741.02
  4. Step 4: Simplify right side
    6,467.94x = 46,019,990.71
  5. Step 5: Solve for x
    x = 46,019,990.71/6,467.94
  6. Step 6: Final answer
    x = 7,115.09

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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.