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Finding the Fourth Proportional to 6,009.31, 9,015 and 2,678.74

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Solution

The fourth proportional to 6,009.31, 9,015 and 2,678.74 is: 4,018.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,009.31 : 9,015 = 2,678.74 : x
  2. Step 2: Convert to fraction form
    6,009.31/9,015 = 2,678.74/x
  3. Step 3: Cross multiply
    6,009.31x = 9,015 × 2,678.74
  4. Step 4: Simplify right side
    6,009.31x = 24,148,841.10
  5. Step 5: Solve for x
    x = 24,148,841.10/6,009.31
  6. Step 6: Final answer
    x = 4,018.57

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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.