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Finding the Fourth Proportional to 6,575.96, 9,067.86 and 5,157

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Solution

The fourth proportional to 6,575.96, 9,067.86 and 5,157 is: 7,111.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,575.96 : 9,067.86 = 5,157 : x
  2. Step 2: Convert to fraction form
    6,575.96/9,067.86 = 5,157/x
  3. Step 3: Cross multiply
    6,575.96x = 9,067.86 × 5,157
  4. Step 4: Simplify right side
    6,575.96x = 46,762,954.02
  5. Step 5: Solve for x
    x = 46,762,954.02/6,575.96
  6. Step 6: Final answer
    x = 7,111.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.