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Finding the Fourth Proportional to 9,883, 13,640.97 and 5,693.68

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Solution

The fourth proportional to 9,883, 13,640.97 and 5,693.68 is: 7,858.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,883 : 13,640.97 = 5,693.68 : x
  2. Step 2: Convert to fraction form
    9,883/13,640.97 = 5,693.68/x
  3. Step 3: Cross multiply
    9,883x = 13,640.97 × 5,693.68
  4. Step 4: Simplify right side
    9,883x = 77,667,318.07
  5. Step 5: Solve for x
    x = 77,667,318.07/9,883
  6. Step 6: Final answer
    x = 7,858.68

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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.