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Finding the Fourth Proportional to 6,189.34, 8,543.17 and 4,938.99

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Solution

The fourth proportional to 6,189.34, 8,543.17 and 4,938.99 is: 6,817.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,189.34 : 8,543.17 = 4,938.99 : x
  2. Step 2: Convert to fraction form
    6,189.34/8,543.17 = 4,938.99/x
  3. Step 3: Cross multiply
    6,189.34x = 8,543.17 × 4,938.99
  4. Step 4: Simplify right side
    6,189.34x = 42,194,637.37
  5. Step 5: Solve for x
    x = 42,194,637.37/6,189.34
  6. Step 6: Final answer
    x = 6,817.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.