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Finding the Fourth Proportional to 6,254.25, 9,381.47 and 1,637.25

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Solution

The fourth proportional to 6,254.25, 9,381.47 and 1,637.25 is: 2,455.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,254.25 : 9,381.47 = 1,637.25 : x
  2. Step 2: Convert to fraction form
    6,254.25/9,381.47 = 1,637.25/x
  3. Step 3: Cross multiply
    6,254.25x = 9,381.47 × 1,637.25
  4. Step 4: Simplify right side
    6,254.25x = 15,359,811.76
  5. Step 5: Solve for x
    x = 15,359,811.76/6,254.25
  6. Step 6: Final answer
    x = 2,455.90

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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.