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Finding the Fourth Proportional to 12,054.81, 16,636.24 and 6,749.63

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Solution

The fourth proportional to 12,054.81, 16,636.24 and 6,749.63 is: 9,314.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,054.81 : 16,636.24 = 6,749.63 : x
  2. Step 2: Convert to fraction form
    12,054.81/16,636.24 = 6,749.63/x
  3. Step 3: Cross multiply
    12,054.81x = 16,636.24 × 6,749.63
  4. Step 4: Simplify right side
    12,054.81x = 112,288,414.27
  5. Step 5: Solve for x
    x = 112,288,414.27/12,054.81
  6. Step 6: Final answer
    x = 9,314.82

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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.