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Finding the Fourth Proportional to 7,244.80, 10,845.60 and 6,817.60

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Solution

The fourth proportional to 7,244.80, 10,845.60 and 6,817.60 is: 10,206.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,244.80 : 10,845.60 = 6,817.60 : x
  2. Step 2: Convert to fraction form
    7,244.80/10,845.60 = 6,817.60/x
  3. Step 3: Cross multiply
    7,244.80x = 10,845.60 × 6,817.60
  4. Step 4: Simplify right side
    7,244.80x = 73,940,962.56
  5. Step 5: Solve for x
    x = 73,940,962.56/7,244.80
  6. Step 6: Final answer
    x = 10,206.07

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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.