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Finding the Fourth Proportional to 12,301.63, 16,975.02 and 7,196.41

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Solution

The fourth proportional to 12,301.63, 16,975.02 and 7,196.41 is: 9,930.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,301.63 : 16,975.02 = 7,196.41 : x
  2. Step 2: Convert to fraction form
    12,301.63/16,975.02 = 7,196.41/x
  3. Step 3: Cross multiply
    12,301.63x = 16,975.02 × 7,196.41
  4. Step 4: Simplify right side
    12,301.63x = 122,159,203.68
  5. Step 5: Solve for x
    x = 122,159,203.68/12,301.63
  6. Step 6: Final answer
    x = 9,930.33

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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.