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Finding the Fourth Proportional to 13,204.41, 18,222.08 and 7,615.41

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Solution

The fourth proportional to 13,204.41, 18,222.08 and 7,615.41 is: 10,509.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,204.41 : 18,222.08 = 7,615.41 : x
  2. Step 2: Convert to fraction form
    13,204.41/18,222.08 = 7,615.41/x
  3. Step 3: Cross multiply
    13,204.41x = 18,222.08 × 7,615.41
  4. Step 4: Simplify right side
    13,204.41x = 138,768,629.29
  5. Step 5: Solve for x
    x = 138,768,629.29/13,204.41
  6. Step 6: Final answer
    x = 10,509.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.