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Finding the Fourth Proportional to 12,054.33, 16,634.95 and 6,749.14

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Solution

The fourth proportional to 12,054.33, 16,634.95 and 6,749.14 is: 9,313.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,054.33 : 16,634.95 = 6,749.14 : x
  2. Step 2: Convert to fraction form
    12,054.33/16,634.95 = 6,749.14/x
  3. Step 3: Cross multiply
    12,054.33x = 16,634.95 × 6,749.14
  4. Step 4: Simplify right side
    12,054.33x = 112,271,711.98
  5. Step 5: Solve for x
    x = 112,271,711.98/12,054.33
  6. Step 6: Final answer
    x = 9,313.81

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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.