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Finding the Fourth Proportional to 6,978.59, 10,467.74 and 2,048.12

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Solution

The fourth proportional to 6,978.59, 10,467.74 and 2,048.12 is: 3,072.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978.59 : 10,467.74 = 2,048.12 : x
  2. Step 2: Convert to fraction form
    6,978.59/10,467.74 = 2,048.12/x
  3. Step 3: Cross multiply
    6,978.59x = 10,467.74 × 2,048.12
  4. Step 4: Simplify right side
    6,978.59x = 21,439,125.07
  5. Step 5: Solve for x
    x = 21,439,125.07/6,978.59
  6. Step 6: Final answer
    x = 3,072.13

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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.