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Finding the Fourth Proportional to 12,012.98, 16,576.68 and 6,978.26

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Solution

The fourth proportional to 12,012.98, 16,576.68 and 6,978.26 is: 9,629.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,012.98 : 16,576.68 = 6,978.26 : x
  2. Step 2: Convert to fraction form
    12,012.98/16,576.68 = 6,978.26/x
  3. Step 3: Cross multiply
    12,012.98x = 16,576.68 × 6,978.26
  4. Step 4: Simplify right side
    12,012.98x = 115,676,459.18
  5. Step 5: Solve for x
    x = 115,676,459.18/12,012.98
  6. Step 6: Final answer
    x = 9,629.29

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1.5x scale

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.