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Finding the Fourth Proportional to 6,973.54, 10,460.31 and 1,779.41

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Solution

The fourth proportional to 6,973.54, 10,460.31 and 1,779.41 is: 2,669.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,973.54 : 10,460.31 = 1,779.41 : x
  2. Step 2: Convert to fraction form
    6,973.54/10,460.31 = 1,779.41/x
  3. Step 3: Cross multiply
    6,973.54x = 10,460.31 × 1,779.41
  4. Step 4: Simplify right side
    6,973.54x = 18,613,180.22
  5. Step 5: Solve for x
    x = 18,613,180.22/6,973.54
  6. Step 6: Final answer
    x = 2,669.12

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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.