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Finding the Fourth Proportional to 4,930.40, 6,804.64 and 2,834.16

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Solution

The fourth proportional to 4,930.40, 6,804.64 and 2,834.16 is: 3,911.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,930.40 : 6,804.64 = 2,834.16 : x
  2. Step 2: Convert to fraction form
    4,930.40/6,804.64 = 2,834.16/x
  3. Step 3: Cross multiply
    4,930.40x = 6,804.64 × 2,834.16
  4. Step 4: Simplify right side
    4,930.40x = 19,285,438.50
  5. Step 5: Solve for x
    x = 19,285,438.50/4,930.40
  6. Step 6: Final answer
    x = 3,911.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.