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Finding the Fourth Proportional to 6,926.71, 9,558.84 and 3,782.92

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Solution

The fourth proportional to 6,926.71, 9,558.84 and 3,782.92 is: 5,220.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,926.71 : 9,558.84 = 3,782.92 : x
  2. Step 2: Convert to fraction form
    6,926.71/9,558.84 = 3,782.92/x
  3. Step 3: Cross multiply
    6,926.71x = 9,558.84 × 3,782.92
  4. Step 4: Simplify right side
    6,926.71x = 36,160,327.01
  5. Step 5: Solve for x
    x = 36,160,327.01/6,926.71
  6. Step 6: Final answer
    x = 5,220.42

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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.