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Finding the Fourth Proportional to 13,843.70, 19,097.03 and 9,368.95

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Solution

The fourth proportional to 13,843.70, 19,097.03 and 9,368.95 is: 12,924.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,843.70 : 19,097.03 = 9,368.95 : x
  2. Step 2: Convert to fraction form
    13,843.70/19,097.03 = 9,368.95/x
  3. Step 3: Cross multiply
    13,843.70x = 19,097.03 × 9,368.95
  4. Step 4: Simplify right side
    13,843.70x = 178,919,119.22
  5. Step 5: Solve for x
    x = 178,919,119.22/13,843.70
  6. Step 6: Final answer
    x = 12,924.23

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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.