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Finding the Fourth Proportional to 13,681.92, 18,883.44 and 8,093.28

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Solution

The fourth proportional to 13,681.92, 18,883.44 and 8,093.28 is: 11,170.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,681.92 : 18,883.44 = 8,093.28 : x
  2. Step 2: Convert to fraction form
    13,681.92/18,883.44 = 8,093.28/x
  3. Step 3: Cross multiply
    13,681.92x = 18,883.44 × 8,093.28
  4. Step 4: Simplify right side
    13,681.92x = 152,828,967.28
  5. Step 5: Solve for x
    x = 152,828,967.28/13,681.92
  6. Step 6: Final answer
    x = 11,170.14

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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.