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Finding the Fourth Proportional to 27,643.66, 41,472.64 and 7,923.66

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Solution

The fourth proportional to 27,643.66, 41,472.64 and 7,923.66 is: 11,887.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,643.66 : 41,472.64 = 7,923.66 : x
  2. Step 2: Convert to fraction form
    27,643.66/41,472.64 = 7,923.66/x
  3. Step 3: Cross multiply
    27,643.66x = 41,472.64 × 7,923.66
  4. Step 4: Simplify right side
    27,643.66x = 328,615,098.66
  5. Step 5: Solve for x
    x = 328,615,098.66/27,643.66
  6. Step 6: Final answer
    x = 11,887.54

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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.