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Finding the Fourth Proportional to 9,858.92, 13,604.73 and 5,667.17

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Solution

The fourth proportional to 9,858.92, 13,604.73 and 5,667.17 is: 7,820.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,858.92 : 13,604.73 = 5,667.17 : x
  2. Step 2: Convert to fraction form
    9,858.92/13,604.73 = 5,667.17/x
  3. Step 3: Cross multiply
    9,858.92x = 13,604.73 × 5,667.17
  4. Step 4: Simplify right side
    9,858.92x = 77,100,317.71
  5. Step 5: Solve for x
    x = 77,100,317.71/9,858.92
  6. Step 6: Final answer
    x = 7,820.36

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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.