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Finding the Fourth Proportional to 6,950.70, 10,423.62 and 2,019.02

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Solution

The fourth proportional to 6,950.70, 10,423.62 and 2,019.02 is: 3,027.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,950.70 : 10,423.62 = 2,019.02 : x
  2. Step 2: Convert to fraction form
    6,950.70/10,423.62 = 2,019.02/x
  3. Step 3: Cross multiply
    6,950.70x = 10,423.62 × 2,019.02
  4. Step 4: Simplify right side
    6,950.70x = 21,045,445.13
  5. Step 5: Solve for x
    x = 21,045,445.13/6,950.70
  6. Step 6: Final answer
    x = 3,027.82

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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.