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Finding the Fourth Proportional to 6,900.96, 10,351.34 and 1,706.88

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Solution

The fourth proportional to 6,900.96, 10,351.34 and 1,706.88 is: 2,560.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,900.96 : 10,351.34 = 1,706.88 : x
  2. Step 2: Convert to fraction form
    6,900.96/10,351.34 = 1,706.88/x
  3. Step 3: Cross multiply
    6,900.96x = 10,351.34 × 1,706.88
  4. Step 4: Simplify right side
    6,900.96x = 17,668,495.22
  5. Step 5: Solve for x
    x = 17,668,495.22/6,900.96
  6. Step 6: Final answer
    x = 2,560.30

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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.