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Finding the Fourth Proportional to 6,173.01, 8,461.58 and 6,089.94

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Solution

The fourth proportional to 6,173.01, 8,461.58 and 6,089.94 is: 8,347.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,173.01 : 8,461.58 = 6,089.94 : x
  2. Step 2: Convert to fraction form
    6,173.01/8,461.58 = 6,089.94/x
  3. Step 3: Cross multiply
    6,173.01x = 8,461.58 × 6,089.94
  4. Step 4: Simplify right side
    6,173.01x = 51,530,484.06
  5. Step 5: Solve for x
    x = 51,530,484.06/6,173.01
  6. Step 6: Final answer
    x = 8,347.71

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.