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Finding the Fourth Proportional to 7,671.54, 11,497.88 and 3,971.66

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Solution

The fourth proportional to 7,671.54, 11,497.88 and 3,971.66 is: 5,952.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,671.54 : 11,497.88 = 3,971.66 : x
  2. Step 2: Convert to fraction form
    7,671.54/11,497.88 = 3,971.66/x
  3. Step 3: Cross multiply
    7,671.54x = 11,497.88 × 3,971.66
  4. Step 4: Simplify right side
    7,671.54x = 45,665,592.73
  5. Step 5: Solve for x
    x = 45,665,592.73/7,671.54
  6. Step 6: Final answer
    x = 5,952.60

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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.