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Finding the Fourth Proportional to 9,294.39, 13,874.73 and 7,963.82

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Solution

The fourth proportional to 9,294.39, 13,874.73 and 7,963.82 is: 11,888.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,294.39 : 13,874.73 = 7,963.82 : x
  2. Step 2: Convert to fraction form
    9,294.39/13,874.73 = 7,963.82/x
  3. Step 3: Cross multiply
    9,294.39x = 13,874.73 × 7,963.82
  4. Step 4: Simplify right side
    9,294.39x = 110,495,782.89
  5. Step 5: Solve for x
    x = 110,495,782.89/9,294.39
  6. Step 6: Final answer
    x = 11,888.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.