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Finding the Fourth Proportional to 6,282.98, 9,424.01 and 2,535

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Solution

The fourth proportional to 6,282.98, 9,424.01 and 2,535 is: 3,802.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,282.98 : 9,424.01 = 2,535 : x
  2. Step 2: Convert to fraction form
    6,282.98/9,424.01 = 2,535/x
  3. Step 3: Cross multiply
    6,282.98x = 9,424.01 × 2,535
  4. Step 4: Simplify right side
    6,282.98x = 23,889,852.68
  5. Step 5: Solve for x
    x = 23,889,852.68/6,282.98
  6. Step 6: Final answer
    x = 3,802.32

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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.