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Finding the Fourth Proportional to 16,313.42, 22,512.06 and 9,597.51

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Solution

The fourth proportional to 16,313.42, 22,512.06 and 9,597.51 is: 13,244.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,313.42 : 22,512.06 = 9,597.51 : x
  2. Step 2: Convert to fraction form
    16,313.42/22,512.06 = 9,597.51/x
  3. Step 3: Cross multiply
    16,313.42x = 22,512.06 × 9,597.51
  4. Step 4: Simplify right side
    16,313.42x = 216,059,720.97
  5. Step 5: Solve for x
    x = 216,059,720.97/16,313.42
  6. Step 6: Final answer
    x = 13,244.29

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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.