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Finding the Fourth Proportional to 17,969, 24,797.70 and 10,011.56

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Solution

The fourth proportional to 17,969, 24,797.70 and 10,011.56 is: 13,816.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,969 : 24,797.70 = 10,011.56 : x
  2. Step 2: Convert to fraction form
    17,969/24,797.70 = 10,011.56/x
  3. Step 3: Cross multiply
    17,969x = 24,797.70 × 10,011.56
  4. Step 4: Simplify right side
    17,969x = 248,263,661.41
  5. Step 5: Solve for x
    x = 248,263,661.41/17,969
  6. Step 6: Final answer
    x = 13,816.22

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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.