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Finding the Fourth Proportional to 17,047, 23,524.86 and 9,970.84

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Solution

The fourth proportional to 17,047, 23,524.86 and 9,970.84 is: 13,759.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,047 : 23,524.86 = 9,970.84 : x
  2. Step 2: Convert to fraction form
    17,047/23,524.86 = 9,970.84/x
  3. Step 3: Cross multiply
    17,047x = 23,524.86 × 9,970.84
  4. Step 4: Simplify right side
    17,047x = 234,562,615.08
  5. Step 5: Solve for x
    x = 234,562,615.08/17,047
  6. Step 6: Final answer
    x = 13,759.76

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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.