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Finding the Fourth Proportional to 6,783.70, 10,167.45 and 3,495.10

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Solution

The fourth proportional to 6,783.70, 10,167.45 and 3,495.10 is: 5,238.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783.70 : 10,167.45 = 3,495.10 : x
  2. Step 2: Convert to fraction form
    6,783.70/10,167.45 = 3,495.10/x
  3. Step 3: Cross multiply
    6,783.70x = 10,167.45 × 3,495.10
  4. Step 4: Simplify right side
    6,783.70x = 35,536,254.50
  5. Step 5: Solve for x
    x = 35,536,254.50/6,783.70
  6. Step 6: Final answer
    x = 5,238.48

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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.