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Finding the Fourth Proportional to 6,089.82, 9,134.73 and 1,985.82

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Solution

The fourth proportional to 6,089.82, 9,134.73 and 1,985.82 is: 2,978.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,089.82 : 9,134.73 = 1,985.82 : x
  2. Step 2: Convert to fraction form
    6,089.82/9,134.73 = 1,985.82/x
  3. Step 3: Cross multiply
    6,089.82x = 9,134.73 × 1,985.82
  4. Step 4: Simplify right side
    6,089.82x = 18,139,929.53
  5. Step 5: Solve for x
    x = 18,139,929.53/6,089.82
  6. Step 6: Final answer
    x = 2,978.73

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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.