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Finding the Fourth Proportional to 12,576.26, 17,355.96 and 6,987.26

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Solution

The fourth proportional to 12,576.26, 17,355.96 and 6,987.26 is: 9,642.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,576.26 : 17,355.96 = 6,987.26 : x
  2. Step 2: Convert to fraction form
    12,576.26/17,355.96 = 6,987.26/x
  3. Step 3: Cross multiply
    12,576.26x = 17,355.96 × 6,987.26
  4. Step 4: Simplify right side
    12,576.26x = 121,270,605.07
  5. Step 5: Solve for x
    x = 121,270,605.07/12,576.26
  6. Step 6: Final answer
    x = 9,642.82

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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.