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Finding the Fourth Proportional to 6,493.23, 9,745.92 and 3,567.51

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Solution

The fourth proportional to 6,493.23, 9,745.92 and 3,567.51 is: 5,354.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.23 : 9,745.92 = 3,567.51 : x
  2. Step 2: Convert to fraction form
    6,493.23/9,745.92 = 3,567.51/x
  3. Step 3: Cross multiply
    6,493.23x = 9,745.92 × 3,567.51
  4. Step 4: Simplify right side
    6,493.23x = 34,768,667.06
  5. Step 5: Solve for x
    x = 34,768,667.06/6,493.23
  6. Step 6: Final answer
    x = 5,354.60

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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.