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Finding the Fourth Proportional to 6,735.42, 10,102.42 and 1,805.56

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Solution

The fourth proportional to 6,735.42, 10,102.42 and 1,805.56 is: 2,708.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735.42 : 10,102.42 = 1,805.56 : x
  2. Step 2: Convert to fraction form
    6,735.42/10,102.42 = 1,805.56/x
  3. Step 3: Cross multiply
    6,735.42x = 10,102.42 × 1,805.56
  4. Step 4: Simplify right side
    6,735.42x = 18,240,525.46
  5. Step 5: Solve for x
    x = 18,240,525.46/6,735.42
  6. Step 6: Final answer
    x = 2,708.15

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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.