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Finding the Fourth Proportional to 12,097.49, 16,683.53 and 7,844.13

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Solution

The fourth proportional to 12,097.49, 16,683.53 and 7,844.13 is: 10,817.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097.49 : 16,683.53 = 7,844.13 : x
  2. Step 2: Convert to fraction form
    12,097.49/16,683.53 = 7,844.13/x
  3. Step 3: Cross multiply
    12,097.49x = 16,683.53 × 7,844.13
  4. Step 4: Simplify right side
    12,097.49x = 130,867,738.96
  5. Step 5: Solve for x
    x = 130,867,738.96/12,097.49
  6. Step 6: Final answer
    x = 10,817.76

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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.