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Finding the Fourth Proportional to 9,194.60, 13,806.30 and 5,306.60

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Solution

The fourth proportional to 9,194.60, 13,806.30 and 5,306.60 is: 7,968.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,194.60 : 13,806.30 = 5,306.60 : x
  2. Step 2: Convert to fraction form
    9,194.60/13,806.30 = 5,306.60/x
  3. Step 3: Cross multiply
    9,194.60x = 13,806.30 × 5,306.60
  4. Step 4: Simplify right side
    9,194.60x = 73,264,511.58
  5. Step 5: Solve for x
    x = 73,264,511.58/9,194.60
  6. Step 6: Final answer
    x = 7,968.21

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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.