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Finding the Fourth Proportional to 6,783.24, 10,175 and 2,166.24

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Solution

The fourth proportional to 6,783.24, 10,175 and 2,166.24 is: 3,249.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783.24 : 10,175 = 2,166.24 : x
  2. Step 2: Convert to fraction form
    6,783.24/10,175 = 2,166.24/x
  3. Step 3: Cross multiply
    6,783.24x = 10,175 × 2,166.24
  4. Step 4: Simplify right side
    6,783.24x = 22,041,492.00
  5. Step 5: Solve for x
    x = 22,041,492.00/6,783.24
  6. Step 6: Final answer
    x = 3,249.40

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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.