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Finding the Fourth Proportional to 11,754.41, 17,619.16 and 5,509.16

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Solution

The fourth proportional to 11,754.41, 17,619.16 and 5,509.16 is: 8,257.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,754.41 : 17,619.16 = 5,509.16 : x
  2. Step 2: Convert to fraction form
    11,754.41/17,619.16 = 5,509.16/x
  3. Step 3: Cross multiply
    11,754.41x = 17,619.16 × 5,509.16
  4. Step 4: Simplify right side
    11,754.41x = 97,066,771.51
  5. Step 5: Solve for x
    x = 97,066,771.51/11,754.41
  6. Step 6: Final answer
    x = 8,257.90

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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.