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Finding the Fourth Proportional to 13,954.78, 19,256.94 and 7,667.02

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Solution

The fourth proportional to 13,954.78, 19,256.94 and 7,667.02 is: 10,580.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,954.78 : 19,256.94 = 7,667.02 : x
  2. Step 2: Convert to fraction form
    13,954.78/19,256.94 = 7,667.02/x
  3. Step 3: Cross multiply
    13,954.78x = 19,256.94 × 7,667.02
  4. Step 4: Simplify right side
    13,954.78x = 147,643,344.12
  5. Step 5: Solve for x
    x = 147,643,344.12/13,954.78
  6. Step 6: Final answer
    x = 10,580.13

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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.