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Finding the Fourth Proportional to 6,902.94, 10,334.43 and 6,190.68

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Solution

The fourth proportional to 6,902.94, 10,334.43 and 6,190.68 is: 9,268.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902.94 : 10,334.43 = 6,190.68 : x
  2. Step 2: Convert to fraction form
    6,902.94/10,334.43 = 6,190.68/x
  3. Step 3: Cross multiply
    6,902.94x = 10,334.43 × 6,190.68
  4. Step 4: Simplify right side
    6,902.94x = 63,977,149.11
  5. Step 5: Solve for x
    x = 63,977,149.11/6,902.94
  6. Step 6: Final answer
    x = 9,268.10

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1.5x scale

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.