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Finding the Fourth Proportional to 6,607.73, 9,892.40 and 5,142.44

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Solution

The fourth proportional to 6,607.73, 9,892.40 and 5,142.44 is: 7,698.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,607.73 : 9,892.40 = 5,142.44 : x
  2. Step 2: Convert to fraction form
    6,607.73/9,892.40 = 5,142.44/x
  3. Step 3: Cross multiply
    6,607.73x = 9,892.40 × 5,142.44
  4. Step 4: Simplify right side
    6,607.73x = 50,871,072.47
  5. Step 5: Solve for x
    x = 50,871,072.47/6,607.73
  6. Step 6: Final answer
    x = 7,698.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.