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Finding the Fourth Proportional to 10,398.71, 15,575.46 and 6,450.93

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Solution

The fourth proportional to 10,398.71, 15,575.46 and 6,450.93 is: 9,662.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,398.71 : 15,575.46 = 6,450.93 : x
  2. Step 2: Convert to fraction form
    10,398.71/15,575.46 = 6,450.93/x
  3. Step 3: Cross multiply
    10,398.71x = 15,575.46 × 6,450.93
  4. Step 4: Simplify right side
    10,398.71x = 100,476,202.18
  5. Step 5: Solve for x
    x = 100,476,202.18/10,398.71
  6. Step 6: Final answer
    x = 9,662.38

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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.