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Finding the Fourth Proportional to 9,494.14, 13,103.03 and 7,897.97

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Solution

The fourth proportional to 9,494.14, 13,103.03 and 7,897.97 is: 10,900.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494.14 : 13,103.03 = 7,897.97 : x
  2. Step 2: Convert to fraction form
    9,494.14/13,103.03 = 7,897.97/x
  3. Step 3: Cross multiply
    9,494.14x = 13,103.03 × 7,897.97
  4. Step 4: Simplify right side
    9,494.14x = 103,487,337.85
  5. Step 5: Solve for x
    x = 103,487,337.85/9,494.14
  6. Step 6: Final answer
    x = 10,900.13

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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.