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Finding the Fourth Proportional to 27,670.61, 41,506.07 and 6,894.11

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Solution

The fourth proportional to 27,670.61, 41,506.07 and 6,894.11 is: 10,341.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,670.61 : 41,506.07 = 6,894.11 : x
  2. Step 2: Convert to fraction form
    27,670.61/41,506.07 = 6,894.11/x
  3. Step 3: Cross multiply
    27,670.61x = 41,506.07 × 6,894.11
  4. Step 4: Simplify right side
    27,670.61x = 286,147,170.25
  5. Step 5: Solve for x
    x = 286,147,170.25/27,670.61
  6. Step 6: Final answer
    x = 10,341.20

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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.