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Finding the Fourth Proportional to 6,883.65, 10,313.19 and 4,684.50

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Solution

The fourth proportional to 6,883.65, 10,313.19 and 4,684.50 is: 7,018.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,883.65 : 10,313.19 = 4,684.50 : x
  2. Step 2: Convert to fraction form
    6,883.65/10,313.19 = 4,684.50/x
  3. Step 3: Cross multiply
    6,883.65x = 10,313.19 × 4,684.50
  4. Step 4: Simplify right side
    6,883.65x = 48,312,138.56
  5. Step 5: Solve for x
    x = 48,312,138.56/6,883.65
  6. Step 6: Final answer
    x = 7,018.39

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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.