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Finding the Fourth Proportional to 12,820.78, 17,692.80 and 7,231.78

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Solution

The fourth proportional to 12,820.78, 17,692.80 and 7,231.78 is: 9,979.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,820.78 : 17,692.80 = 7,231.78 : x
  2. Step 2: Convert to fraction form
    12,820.78/17,692.80 = 7,231.78/x
  3. Step 3: Cross multiply
    12,820.78x = 17,692.80 × 7,231.78
  4. Step 4: Simplify right side
    12,820.78x = 127,950,437.18
  5. Step 5: Solve for x
    x = 127,950,437.18/12,820.78
  6. Step 6: Final answer
    x = 9,979.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.