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Finding the Fourth Proportional to 9,189.50, 13,771.82 and 6,586.70

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Solution

The fourth proportional to 9,189.50, 13,771.82 and 6,586.70 is: 9,871.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,189.50 : 13,771.82 = 6,586.70 : x
  2. Step 2: Convert to fraction form
    9,189.50/13,771.82 = 6,586.70/x
  3. Step 3: Cross multiply
    9,189.50x = 13,771.82 × 6,586.70
  4. Step 4: Simplify right side
    9,189.50x = 90,710,794.40
  5. Step 5: Solve for x
    x = 90,710,794.40/9,189.50
  6. Step 6: Final answer
    x = 9,871.14

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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.