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Finding the Fourth Proportional to 9,213.60, 13,809.60 and 4,828.80

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Solution

The fourth proportional to 9,213.60, 13,809.60 and 4,828.80 is: 7,237.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,213.60 : 13,809.60 = 4,828.80 : x
  2. Step 2: Convert to fraction form
    9,213.60/13,809.60 = 4,828.80/x
  3. Step 3: Cross multiply
    9,213.60x = 13,809.60 × 4,828.80
  4. Step 4: Simplify right side
    9,213.60x = 66,683,796.48
  5. Step 5: Solve for x
    x = 66,683,796.48/9,213.60
  6. Step 6: Final answer
    x = 7,237.54

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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.