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Finding the Fourth Proportional to 6,564.70, 9,847.04 and 2,126.08

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Solution

The fourth proportional to 6,564.70, 9,847.04 and 2,126.08 is: 3,189.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.70 : 9,847.04 = 2,126.08 : x
  2. Step 2: Convert to fraction form
    6,564.70/9,847.04 = 2,126.08/x
  3. Step 3: Cross multiply
    6,564.70x = 9,847.04 × 2,126.08
  4. Step 4: Simplify right side
    6,564.70x = 20,935,596.48
  5. Step 5: Solve for x
    x = 20,935,596.48/6,564.70
  6. Step 6: Final answer
    x = 3,189.12

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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.