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Finding the Fourth Proportional to 22,297.60, 33,430.20 and 9,143.20

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Solution

The fourth proportional to 22,297.60, 33,430.20 and 9,143.20 is: 13,708.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,297.60 : 33,430.20 = 9,143.20 : x
  2. Step 2: Convert to fraction form
    22,297.60/33,430.20 = 9,143.20/x
  3. Step 3: Cross multiply
    22,297.60x = 33,430.20 × 9,143.20
  4. Step 4: Simplify right side
    22,297.60x = 305,659,004.64
  5. Step 5: Solve for x
    x = 305,659,004.64/22,297.60
  6. Step 6: Final answer
    x = 13,708.16

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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.