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Finding the Fourth Proportional to 6,706.01, 10,059.47 and 1,775.59

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Solution

The fourth proportional to 6,706.01, 10,059.47 and 1,775.59 is: 2,663.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.01 : 10,059.47 = 1,775.59 : x
  2. Step 2: Convert to fraction form
    6,706.01/10,059.47 = 1,775.59/x
  3. Step 3: Cross multiply
    6,706.01x = 10,059.47 × 1,775.59
  4. Step 4: Simplify right side
    6,706.01x = 17,861,435.16
  5. Step 5: Solve for x
    x = 17,861,435.16/6,706.01
  6. Step 6: Final answer
    x = 2,663.50

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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.