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Finding the Fourth Proportional to 10,641, 14,688.24 and 6,449.25

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Solution

The fourth proportional to 10,641, 14,688.24 and 6,449.25 is: 8,902.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,641 : 14,688.24 = 6,449.25 : x
  2. Step 2: Convert to fraction form
    10,641/14,688.24 = 6,449.25/x
  3. Step 3: Cross multiply
    10,641x = 14,688.24 × 6,449.25
  4. Step 4: Simplify right side
    10,641x = 94,728,131.82
  5. Step 5: Solve for x
    x = 94,728,131.82/10,641
  6. Step 6: Final answer
    x = 8,902.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.