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Finding the Fourth Proportional to 12,777.75, 17,630.64 and 7,471.54

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Solution

The fourth proportional to 12,777.75, 17,630.64 and 7,471.54 is: 10,309.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,777.75 : 17,630.64 = 7,471.54 : x
  2. Step 2: Convert to fraction form
    12,777.75/17,630.64 = 7,471.54/x
  3. Step 3: Cross multiply
    12,777.75x = 17,630.64 × 7,471.54
  4. Step 4: Simplify right side
    12,777.75x = 131,728,031.99
  5. Step 5: Solve for x
    x = 131,728,031.99/12,777.75
  6. Step 6: Final answer
    x = 10,309.17

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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.