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Finding the Fourth Proportional to 13,135.60, 19,722.60 and 9,257.20

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Solution

The fourth proportional to 13,135.60, 19,722.60 and 9,257.20 is: 13,899.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,135.60 : 19,722.60 = 9,257.20 : x
  2. Step 2: Convert to fraction form
    13,135.60/19,722.60 = 9,257.20/x
  3. Step 3: Cross multiply
    13,135.60x = 19,722.60 × 9,257.20
  4. Step 4: Simplify right side
    13,135.60x = 182,576,052.72
  5. Step 5: Solve for x
    x = 182,576,052.72/13,135.60
  6. Step 6: Final answer
    x = 13,899.33

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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.