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Finding the Fourth Proportional to 14,226, 19,632.96 and 8,638.08

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Solution

The fourth proportional to 14,226, 19,632.96 and 8,638.08 is: 11,921.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,226 : 19,632.96 = 8,638.08 : x
  2. Step 2: Convert to fraction form
    14,226/19,632.96 = 8,638.08/x
  3. Step 3: Cross multiply
    14,226x = 19,632.96 × 8,638.08
  4. Step 4: Simplify right side
    14,226x = 169,591,079.12
  5. Step 5: Solve for x
    x = 169,591,079.12/14,226
  6. Step 6: Final answer
    x = 11,921.21

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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.