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Finding the Fourth Proportional to 12,314.53, 16,993.96 and 6,725.53

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Solution

The fourth proportional to 12,314.53, 16,993.96 and 6,725.53 is: 9,281.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,314.53 : 16,993.96 = 6,725.53 : x
  2. Step 2: Convert to fraction form
    12,314.53/16,993.96 = 6,725.53/x
  3. Step 3: Cross multiply
    12,314.53x = 16,993.96 × 6,725.53
  4. Step 4: Simplify right side
    12,314.53x = 114,293,387.80
  5. Step 5: Solve for x
    x = 114,293,387.80/12,314.53
  6. Step 6: Final answer
    x = 9,281.18

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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.