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Finding the Fourth Proportional to 12,093.47, 16,692.47 and 7,313.42

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Solution

The fourth proportional to 12,093.47, 16,692.47 and 7,313.42 is: 10,094.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,093.47 : 16,692.47 = 7,313.42 : x
  2. Step 2: Convert to fraction form
    12,093.47/16,692.47 = 7,313.42/x
  3. Step 3: Cross multiply
    12,093.47x = 16,692.47 × 7,313.42
  4. Step 4: Simplify right side
    12,093.47x = 122,079,043.95
  5. Step 5: Solve for x
    x = 122,079,043.95/12,093.47
  6. Step 6: Final answer
    x = 10,094.62

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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.