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Finding the Fourth Proportional to 6,774.40, 9,347.42 and 3,790.26

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Solution

The fourth proportional to 6,774.40, 9,347.42 and 3,790.26 is: 5,229.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,774.40 : 9,347.42 = 3,790.26 : x
  2. Step 2: Convert to fraction form
    6,774.40/9,347.42 = 3,790.26/x
  3. Step 3: Cross multiply
    6,774.40x = 9,347.42 × 3,790.26
  4. Step 4: Simplify right side
    6,774.40x = 35,429,152.13
  5. Step 5: Solve for x
    x = 35,429,152.13/6,774.40
  6. Step 6: Final answer
    x = 5,229.86

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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.