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Finding the Fourth Proportional to 6,539.96, 9,018.96 and 4,178

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Solution

The fourth proportional to 6,539.96, 9,018.96 and 4,178 is: 5,761.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,539.96 : 9,018.96 = 4,178 : x
  2. Step 2: Convert to fraction form
    6,539.96/9,018.96 = 4,178/x
  3. Step 3: Cross multiply
    6,539.96x = 9,018.96 × 4,178
  4. Step 4: Simplify right side
    6,539.96x = 37,681,214.88
  5. Step 5: Solve for x
    x = 37,681,214.88/6,539.96
  6. Step 6: Final answer
    x = 5,761.69

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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.