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Finding the Fourth Proportional to 13,605.16, 20,393.34 and 7,749.22

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Solution

The fourth proportional to 13,605.16, 20,393.34 and 7,749.22 is: 11,615.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,605.16 : 20,393.34 = 7,749.22 : x
  2. Step 2: Convert to fraction form
    13,605.16/20,393.34 = 7,749.22/x
  3. Step 3: Cross multiply
    13,605.16x = 20,393.34 × 7,749.22
  4. Step 4: Simplify right side
    13,605.16x = 158,032,478.19
  5. Step 5: Solve for x
    x = 158,032,478.19/13,605.16
  6. Step 6: Final answer
    x = 11,615.63

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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.