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Finding the Fourth Proportional to 6,978.51, 10,464.46 and 2,706.23

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Solution

The fourth proportional to 6,978.51, 10,464.46 and 2,706.23 is: 4,058.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978.51 : 10,464.46 = 2,706.23 : x
  2. Step 2: Convert to fraction form
    6,978.51/10,464.46 = 2,706.23/x
  3. Step 3: Cross multiply
    6,978.51x = 10,464.46 × 2,706.23
  4. Step 4: Simplify right side
    6,978.51x = 28,319,265.13
  5. Step 5: Solve for x
    x = 28,319,265.13/6,978.51
  6. Step 6: Final answer
    x = 4,058.07

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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.