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Finding the Fourth Proportional to 6,829.94, 9,425.49 and 4,178.84

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Solution

The fourth proportional to 6,829.94, 9,425.49 and 4,178.84 is: 5,766.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,829.94 : 9,425.49 = 4,178.84 : x
  2. Step 2: Convert to fraction form
    6,829.94/9,425.49 = 4,178.84/x
  3. Step 3: Cross multiply
    6,829.94x = 9,425.49 × 4,178.84
  4. Step 4: Simplify right side
    6,829.94x = 39,387,614.63
  5. Step 5: Solve for x
    x = 39,387,614.63/6,829.94
  6. Step 6: Final answer
    x = 5,766.90

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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.