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Finding the Fourth Proportional to 11,859.21, 17,795.16 and 7,698.24

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Solution

The fourth proportional to 11,859.21, 17,795.16 and 7,698.24 is: 11,551.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,859.21 : 17,795.16 = 7,698.24 : x
  2. Step 2: Convert to fraction form
    11,859.21/17,795.16 = 7,698.24/x
  3. Step 3: Cross multiply
    11,859.21x = 17,795.16 × 7,698.24
  4. Step 4: Simplify right side
    11,859.21x = 136,991,412.52
  5. Step 5: Solve for x
    x = 136,991,412.52/11,859.21
  6. Step 6: Final answer
    x = 11,551.48

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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.