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Finding the Fourth Proportional to 6,106.50, 9,154.27 and 2,209.99

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Solution

The fourth proportional to 6,106.50, 9,154.27 and 2,209.99 is: 3,313.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,106.50 : 9,154.27 = 2,209.99 : x
  2. Step 2: Convert to fraction form
    6,106.50/9,154.27 = 2,209.99/x
  3. Step 3: Cross multiply
    6,106.50x = 9,154.27 × 2,209.99
  4. Step 4: Simplify right side
    6,106.50x = 20,230,845.16
  5. Step 5: Solve for x
    x = 20,230,845.16/6,106.50
  6. Step 6: Final answer
    x = 3,313.00

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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.