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Finding the Fourth Proportional to 11,647.80, 17,475.28 and 6,973.09

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Solution

The fourth proportional to 11,647.80, 17,475.28 and 6,973.09 is: 10,461.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,647.80 : 17,475.28 = 6,973.09 : x
  2. Step 2: Convert to fraction form
    11,647.80/17,475.28 = 6,973.09/x
  3. Step 3: Cross multiply
    11,647.80x = 17,475.28 × 6,973.09
  4. Step 4: Simplify right side
    11,647.80x = 121,856,639.09
  5. Step 5: Solve for x
    x = 121,856,639.09/11,647.80
  6. Step 6: Final answer
    x = 10,461.77

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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.