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Finding the Fourth Proportional to 6,097.40, 9,143.40 and 2,811.50

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Solution

The fourth proportional to 6,097.40, 9,143.40 and 2,811.50 is: 4,216.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.40 : 9,143.40 = 2,811.50 : x
  2. Step 2: Convert to fraction form
    6,097.40/9,143.40 = 2,811.50/x
  3. Step 3: Cross multiply
    6,097.40x = 9,143.40 × 2,811.50
  4. Step 4: Simplify right side
    6,097.40x = 25,706,669.10
  5. Step 5: Solve for x
    x = 25,706,669.10/6,097.40
  6. Step 6: Final answer
    x = 4,216.01

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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.