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Finding the Fourth Proportional to 6,467.54, 9,703.47 and 2,570.90

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Solution

The fourth proportional to 6,467.54, 9,703.47 and 2,570.90 is: 3,857.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467.54 : 9,703.47 = 2,570.90 : x
  2. Step 2: Convert to fraction form
    6,467.54/9,703.47 = 2,570.90/x
  3. Step 3: Cross multiply
    6,467.54x = 9,703.47 × 2,570.90
  4. Step 4: Simplify right side
    6,467.54x = 24,946,651.02
  5. Step 5: Solve for x
    x = 24,946,651.02/6,467.54
  6. Step 6: Final answer
    x = 3,857.21

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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.