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Finding the Fourth Proportional to 12,094.92, 16,692.75 and 7,060.64

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Solution

The fourth proportional to 12,094.92, 16,692.75 and 7,060.64 is: 9,744.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,094.92 : 16,692.75 = 7,060.64 : x
  2. Step 2: Convert to fraction form
    12,094.92/16,692.75 = 7,060.64/x
  3. Step 3: Cross multiply
    12,094.92x = 16,692.75 × 7,060.64
  4. Step 4: Simplify right side
    12,094.92x = 117,861,414.90
  5. Step 5: Solve for x
    x = 117,861,414.90/12,094.92
  6. Step 6: Final answer
    x = 9,744.70

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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.