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Finding the Fourth Proportional to 11,774.80, 17,662.16 and 3,983.50

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Solution

The fourth proportional to 11,774.80, 17,662.16 and 3,983.50 is: 5,975.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,774.80 : 17,662.16 = 3,983.50 : x
  2. Step 2: Convert to fraction form
    11,774.80/17,662.16 = 3,983.50/x
  3. Step 3: Cross multiply
    11,774.80x = 17,662.16 × 3,983.50
  4. Step 4: Simplify right side
    11,774.80x = 70,357,214.36
  5. Step 5: Solve for x
    x = 70,357,214.36/11,774.80
  6. Step 6: Final answer
    x = 5,975.24

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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.