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Finding the Fourth Proportional to 10,637.89, 15,951.49 and 6,197.02

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Solution

The fourth proportional to 10,637.89, 15,951.49 and 6,197.02 is: 9,292.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,637.89 : 15,951.49 = 6,197.02 : x
  2. Step 2: Convert to fraction form
    10,637.89/15,951.49 = 6,197.02/x
  3. Step 3: Cross multiply
    10,637.89x = 15,951.49 × 6,197.02
  4. Step 4: Simplify right side
    10,637.89x = 98,851,647.19
  5. Step 5: Solve for x
    x = 98,851,647.19/10,637.89
  6. Step 6: Final answer
    x = 9,292.41

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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.