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Finding the Fourth Proportional to 6,277.56, 9,416.29 and 1,597.52

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Solution

The fourth proportional to 6,277.56, 9,416.29 and 1,597.52 is: 2,396.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277.56 : 9,416.29 = 1,597.52 : x
  2. Step 2: Convert to fraction form
    6,277.56/9,416.29 = 1,597.52/x
  3. Step 3: Cross multiply
    6,277.56x = 9,416.29 × 1,597.52
  4. Step 4: Simplify right side
    6,277.56x = 15,042,703.61
  5. Step 5: Solve for x
    x = 15,042,703.61/6,277.56
  6. Step 6: Final answer
    x = 2,396.27

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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.