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Finding the Fourth Proportional to 6,957.80, 10,434.10 and 2,796.40

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Solution

The fourth proportional to 6,957.80, 10,434.10 and 2,796.40 is: 4,193.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,957.80 : 10,434.10 = 2,796.40 : x
  2. Step 2: Convert to fraction form
    6,957.80/10,434.10 = 2,796.40/x
  3. Step 3: Cross multiply
    6,957.80x = 10,434.10 × 2,796.40
  4. Step 4: Simplify right side
    6,957.80x = 29,177,917.24
  5. Step 5: Solve for x
    x = 29,177,917.24/6,957.80
  6. Step 6: Final answer
    x = 4,193.56

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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.