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Finding the Fourth Proportional to 11,794.63, 17,686.47 and 6,865.68

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Solution

The fourth proportional to 11,794.63, 17,686.47 and 6,865.68 is: 10,295.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,794.63 : 17,686.47 = 6,865.68 : x
  2. Step 2: Convert to fraction form
    11,794.63/17,686.47 = 6,865.68/x
  3. Step 3: Cross multiply
    11,794.63x = 17,686.47 × 6,865.68
  4. Step 4: Simplify right side
    11,794.63x = 121,429,643.35
  5. Step 5: Solve for x
    x = 121,429,643.35/11,794.63
  6. Step 6: Final answer
    x = 10,295.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.