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Finding the Fourth Proportional to 3,848.84, 5,773.26 and 927.14

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Solution

The fourth proportional to 3,848.84, 5,773.26 and 927.14 is: 1,390.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,848.84 : 5,773.26 = 927.14 : x
  2. Step 2: Convert to fraction form
    3,848.84/5,773.26 = 927.14/x
  3. Step 3: Cross multiply
    3,848.84x = 5,773.26 × 927.14
  4. Step 4: Simplify right side
    3,848.84x = 5,352,591.41
  5. Step 5: Solve for x
    x = 5,352,591.41/3,848.84
  6. Step 6: Final answer
    x = 1,390.70

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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.