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Finding the Fourth Proportional to 11,783.52, 17,661.06 and 5,202.24

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Solution

The fourth proportional to 11,783.52, 17,661.06 and 5,202.24 is: 7,797.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.52 : 17,661.06 = 5,202.24 : x
  2. Step 2: Convert to fraction form
    11,783.52/17,661.06 = 5,202.24/x
  3. Step 3: Cross multiply
    11,783.52x = 17,661.06 × 5,202.24
  4. Step 4: Simplify right side
    11,783.52x = 91,877,072.77
  5. Step 5: Solve for x
    x = 91,877,072.77/11,783.52
  6. Step 6: Final answer
    x = 7,797.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.