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Finding the Fourth Proportional to 13,954.74, 19,252.08 and 7,983.21

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Solution

The fourth proportional to 13,954.74, 19,252.08 and 7,983.21 is: 11,013.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,954.74 : 19,252.08 = 7,983.21 : x
  2. Step 2: Convert to fraction form
    13,954.74/19,252.08 = 7,983.21/x
  3. Step 3: Cross multiply
    13,954.74x = 19,252.08 × 7,983.21
  4. Step 4: Simplify right side
    13,954.74x = 153,693,397.58
  5. Step 5: Solve for x
    x = 153,693,397.58/13,954.74
  6. Step 6: Final answer
    x = 11,013.71

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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.