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Finding the Fourth Proportional to 11,785.63, 16,263.39 and 6,749.89

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Solution

The fourth proportional to 11,785.63, 16,263.39 and 6,749.89 is: 9,314.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,785.63 : 16,263.39 = 6,749.89 : x
  2. Step 2: Convert to fraction form
    11,785.63/16,263.39 = 6,749.89/x
  3. Step 3: Cross multiply
    11,785.63x = 16,263.39 × 6,749.89
  4. Step 4: Simplify right side
    11,785.63x = 109,776,093.53
  5. Step 5: Solve for x
    x = 109,776,093.53/11,785.63
  6. Step 6: Final answer
    x = 9,314.40

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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.