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Finding the Fourth Proportional to 13,886, 19,163.04 and 8,218.16

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Solution

The fourth proportional to 13,886, 19,163.04 and 8,218.16 is: 11,341.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,886 : 19,163.04 = 8,218.16 : x
  2. Step 2: Convert to fraction form
    13,886/19,163.04 = 8,218.16/x
  3. Step 3: Cross multiply
    13,886x = 19,163.04 × 8,218.16
  4. Step 4: Simplify right side
    13,886x = 157,484,928.81
  5. Step 5: Solve for x
    x = 157,484,928.81/13,886
  6. Step 6: Final answer
    x = 11,341.27

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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.