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Finding the Fourth Proportional to 6,779.16, 10,170.90 and 3,699

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Solution

The fourth proportional to 6,779.16, 10,170.90 and 3,699 is: 5,549.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,779.16 : 10,170.90 = 3,699 : x
  2. Step 2: Convert to fraction form
    6,779.16/10,170.90 = 3,699/x
  3. Step 3: Cross multiply
    6,779.16x = 10,170.90 × 3,699
  4. Step 4: Simplify right side
    6,779.16x = 37,622,159.10
  5. Step 5: Solve for x
    x = 37,622,159.10/6,779.16
  6. Step 6: Final answer
    x = 5,549.68

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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.