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Finding the Fourth Proportional to 9,493.14, 13,101.65 and 7,896.97

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Solution

The fourth proportional to 9,493.14, 13,101.65 and 7,896.97 is: 10,898.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,493.14 : 13,101.65 = 7,896.97 : x
  2. Step 2: Convert to fraction form
    9,493.14/13,101.65 = 7,896.97/x
  3. Step 3: Cross multiply
    9,493.14x = 13,101.65 × 7,896.97
  4. Step 4: Simplify right side
    9,493.14x = 103,463,337.00
  5. Step 5: Solve for x
    x = 103,463,337.00/9,493.14
  6. Step 6: Final answer
    x = 10,898.75

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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.