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Finding the Fourth Proportional to 9,884.22, 13,623.93 and 7,013.94

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Solution

The fourth proportional to 9,884.22, 13,623.93 and 7,013.94 is: 9,667.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884.22 : 13,623.93 = 7,013.94 : x
  2. Step 2: Convert to fraction form
    9,884.22/13,623.93 = 7,013.94/x
  3. Step 3: Cross multiply
    9,884.22x = 13,623.93 × 7,013.94
  4. Step 4: Simplify right side
    9,884.22x = 95,557,427.58
  5. Step 5: Solve for x
    x = 95,557,427.58/9,884.22
  6. Step 6: Final answer
    x = 9,667.68

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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.