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Finding the Fourth Proportional to 27,364.16, 41,046.25 and 6,587.66

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Solution

The fourth proportional to 27,364.16, 41,046.25 and 6,587.66 is: 9,881.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,364.16 : 41,046.25 = 6,587.66 : x
  2. Step 2: Convert to fraction form
    27,364.16/41,046.25 = 6,587.66/x
  3. Step 3: Cross multiply
    27,364.16x = 41,046.25 × 6,587.66
  4. Step 4: Simplify right side
    27,364.16x = 270,398,739.28
  5. Step 5: Solve for x
    x = 270,398,739.28/27,364.16
  6. Step 6: Final answer
    x = 9,881.49

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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.