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Finding the Fourth Proportional to 14,698.62, 20,284.26 and 7,984.26

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Solution

The fourth proportional to 14,698.62, 20,284.26 and 7,984.26 is: 11,018.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,698.62 : 20,284.26 = 7,984.26 : x
  2. Step 2: Convert to fraction form
    14,698.62/20,284.26 = 7,984.26/x
  3. Step 3: Cross multiply
    14,698.62x = 20,284.26 × 7,984.26
  4. Step 4: Simplify right side
    14,698.62x = 161,954,805.75
  5. Step 5: Solve for x
    x = 161,954,805.75/14,698.62
  6. Step 6: Final answer
    x = 11,018.37

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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.