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Finding the Fourth Proportional to 11,304.97, 16,941.22 and 6,364.17

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Solution

The fourth proportional to 11,304.97, 16,941.22 and 6,364.17 is: 9,537.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,304.97 : 16,941.22 = 6,364.17 : x
  2. Step 2: Convert to fraction form
    11,304.97/16,941.22 = 6,364.17/x
  3. Step 3: Cross multiply
    11,304.97x = 16,941.22 × 6,364.17
  4. Step 4: Simplify right side
    11,304.97x = 107,816,788.18
  5. Step 5: Solve for x
    x = 107,816,788.18/11,304.97
  6. Step 6: Final answer
    x = 9,537.12

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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.