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Finding the Fourth Proportional to 27,673.68, 41,502.02 and 7,946.94

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Solution

The fourth proportional to 27,673.68, 41,502.02 and 7,946.94 is: 11,917.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,673.68 : 41,502.02 = 7,946.94 : x
  2. Step 2: Convert to fraction form
    27,673.68/41,502.02 = 7,946.94/x
  3. Step 3: Cross multiply
    27,673.68x = 41,502.02 × 7,946.94
  4. Step 4: Simplify right side
    27,673.68x = 329,814,062.82
  5. Step 5: Solve for x
    x = 329,814,062.82/27,673.68
  6. Step 6: Final answer
    x = 11,917.97

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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.