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Finding the Fourth Proportional to 6,525.90, 9,782.42 and 4,179.24

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Solution

The fourth proportional to 6,525.90, 9,782.42 and 4,179.24 is: 6,264.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,525.90 : 9,782.42 = 4,179.24 : x
  2. Step 2: Convert to fraction form
    6,525.90/9,782.42 = 4,179.24/x
  3. Step 3: Cross multiply
    6,525.90x = 9,782.42 × 4,179.24
  4. Step 4: Simplify right side
    6,525.90x = 40,883,060.06
  5. Step 5: Solve for x
    x = 40,883,060.06/6,525.90
  6. Step 6: Final answer
    x = 6,264.74

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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.