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Finding the Fourth Proportional to 6,900.56, 10,350.84 and 1,706.32

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Solution

The fourth proportional to 6,900.56, 10,350.84 and 1,706.32 is: 2,559.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,900.56 : 10,350.84 = 1,706.32 : x
  2. Step 2: Convert to fraction form
    6,900.56/10,350.84 = 1,706.32/x
  3. Step 3: Cross multiply
    6,900.56x = 10,350.84 × 1,706.32
  4. Step 4: Simplify right side
    6,900.56x = 17,661,845.31
  5. Step 5: Solve for x
    x = 17,661,845.31/6,900.56
  6. Step 6: Final answer
    x = 2,559.48

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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.