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Finding the Fourth Proportional to 7,692.31, 11,538.46 and 1,848.92

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Solution

The fourth proportional to 7,692.31, 11,538.46 and 1,848.92 is: 2,773.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.31 : 11,538.46 = 1,848.92 : x
  2. Step 2: Convert to fraction form
    7,692.31/11,538.46 = 1,848.92/x
  3. Step 3: Cross multiply
    7,692.31x = 11,538.46 × 1,848.92
  4. Step 4: Simplify right side
    7,692.31x = 21,333,660.62
  5. Step 5: Solve for x
    x = 21,333,660.62/7,692.31
  6. Step 6: Final answer
    x = 2,773.38

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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.