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Finding the Fourth Proportional to 12,894.16, 17,791.08 and 8,184.40

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Solution

The fourth proportional to 12,894.16, 17,791.08 and 8,184.40 is: 11,292.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,894.16 : 17,791.08 = 8,184.40 : x
  2. Step 2: Convert to fraction form
    12,894.16/17,791.08 = 8,184.40/x
  3. Step 3: Cross multiply
    12,894.16x = 17,791.08 × 8,184.40
  4. Step 4: Simplify right side
    12,894.16x = 145,609,315.15
  5. Step 5: Solve for x
    x = 145,609,315.15/12,894.16
  6. Step 6: Final answer
    x = 11,292.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.