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Finding the Fourth Proportional to 6,276.96, 9,415.50 and 1,596.98

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Solution

The fourth proportional to 6,276.96, 9,415.50 and 1,596.98 is: 2,395.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,276.96 : 9,415.50 = 1,596.98 : x
  2. Step 2: Convert to fraction form
    6,276.96/9,415.50 = 1,596.98/x
  3. Step 3: Cross multiply
    6,276.96x = 9,415.50 × 1,596.98
  4. Step 4: Simplify right side
    6,276.96x = 15,036,315.12
  5. Step 5: Solve for x
    x = 15,036,315.12/6,276.96
  6. Step 6: Final answer
    x = 2,395.48

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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.