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Finding the Fourth Proportional to 6,958.56, 9,603.12 and 4,164

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Solution

The fourth proportional to 6,958.56, 9,603.12 and 4,164 is: 5,746.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,958.56 : 9,603.12 = 4,164 : x
  2. Step 2: Convert to fraction form
    6,958.56/9,603.12 = 4,164/x
  3. Step 3: Cross multiply
    6,958.56x = 9,603.12 × 4,164
  4. Step 4: Simplify right side
    6,958.56x = 39,987,391.68
  5. Step 5: Solve for x
    x = 39,987,391.68/6,958.56
  6. Step 6: Final answer
    x = 5,746.50

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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.