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Finding the Fourth Proportional to 6,956.93, 9,609.77 and 5,185.46

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Solution

The fourth proportional to 6,956.93, 9,609.77 and 5,185.46 is: 7,162.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,956.93 : 9,609.77 = 5,185.46 : x
  2. Step 2: Convert to fraction form
    6,956.93/9,609.77 = 5,185.46/x
  3. Step 3: Cross multiply
    6,956.93x = 9,609.77 × 5,185.46
  4. Step 4: Simplify right side
    6,956.93x = 49,831,052.02
  5. Step 5: Solve for x
    x = 49,831,052.02/6,956.93
  6. Step 6: Final answer
    x = 7,162.79

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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.