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Finding the Fourth Proportional to 6,970.98, 10,456.42 and 1,706.02

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Solution

The fourth proportional to 6,970.98, 10,456.42 and 1,706.02 is: 2,559.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.98 : 10,456.42 = 1,706.02 : x
  2. Step 2: Convert to fraction form
    6,970.98/10,456.42 = 1,706.02/x
  3. Step 3: Cross multiply
    6,970.98x = 10,456.42 × 1,706.02
  4. Step 4: Simplify right side
    6,970.98x = 17,838,861.65
  5. Step 5: Solve for x
    x = 17,838,861.65/6,970.98
  6. Step 6: Final answer
    x = 2,559.02

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