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Finding the Fourth Proportional to 6,706.97, 10,060.45 and 1,776.99

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Solution

The fourth proportional to 6,706.97, 10,060.45 and 1,776.99 is: 2,665.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.97 : 10,060.45 = 1,776.99 : x
  2. Step 2: Convert to fraction form
    6,706.97/10,060.45 = 1,776.99/x
  3. Step 3: Cross multiply
    6,706.97x = 10,060.45 × 1,776.99
  4. Step 4: Simplify right side
    6,706.97x = 17,877,314.60
  5. Step 5: Solve for x
    x = 17,877,314.60/6,706.97
  6. Step 6: Final answer
    x = 2,665.49

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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.