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Finding the Fourth Proportional to 6,834.04, 9,430.88 and 3,850.18

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Solution

The fourth proportional to 6,834.04, 9,430.88 and 3,850.18 is: 5,313.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,834.04 : 9,430.88 = 3,850.18 : x
  2. Step 2: Convert to fraction form
    6,834.04/9,430.88 = 3,850.18/x
  3. Step 3: Cross multiply
    6,834.04x = 9,430.88 × 3,850.18
  4. Step 4: Simplify right side
    6,834.04x = 36,310,585.56
  5. Step 5: Solve for x
    x = 36,310,585.56/6,834.04
  6. Step 6: Final answer
    x = 5,313.19

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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.