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Finding the Fourth Proportional to 6,852.88, 10,274.19 and 6,157.54

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Solution

The fourth proportional to 6,852.88, 10,274.19 and 6,157.54 is: 9,231.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852.88 : 10,274.19 = 6,157.54 : x
  2. Step 2: Convert to fraction form
    6,852.88/10,274.19 = 6,157.54/x
  3. Step 3: Cross multiply
    6,852.88x = 10,274.19 × 6,157.54
  4. Step 4: Simplify right side
    6,852.88x = 63,263,735.89
  5. Step 5: Solve for x
    x = 63,263,735.89/6,852.88
  6. Step 6: Final answer
    x = 9,231.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.