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Finding the Fourth Proportional to 17,100.70, 23,596.03 and 9,546.64

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Solution

The fourth proportional to 17,100.70, 23,596.03 and 9,546.64 is: 13,172.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,100.70 : 23,596.03 = 9,546.64 : x
  2. Step 2: Convert to fraction form
    17,100.70/23,596.03 = 9,546.64/x
  3. Step 3: Cross multiply
    17,100.70x = 23,596.03 × 9,546.64
  4. Step 4: Simplify right side
    17,100.70x = 225,262,803.84
  5. Step 5: Solve for x
    x = 225,262,803.84/17,100.70
  6. Step 6: Final answer
    x = 13,172.72

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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.