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Finding the Fourth Proportional to 12,773.25, 17,627.90 and 7,184.25

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Solution

The fourth proportional to 12,773.25, 17,627.90 and 7,184.25 is: 9,914.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,773.25 : 17,627.90 = 7,184.25 : x
  2. Step 2: Convert to fraction form
    12,773.25/17,627.90 = 7,184.25/x
  3. Step 3: Cross multiply
    12,773.25x = 17,627.90 × 7,184.25
  4. Step 4: Simplify right side
    12,773.25x = 126,643,204.65
  5. Step 5: Solve for x
    x = 126,643,204.65/12,773.25
  6. Step 6: Final answer
    x = 9,914.72

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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.