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Finding the Fourth Proportional to 14,468.28, 21,705.72 and 5,234.28

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Solution

The fourth proportional to 14,468.28, 21,705.72 and 5,234.28 is: 7,852.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,468.28 : 21,705.72 = 5,234.28 : x
  2. Step 2: Convert to fraction form
    14,468.28/21,705.72 = 5,234.28/x
  3. Step 3: Cross multiply
    14,468.28x = 21,705.72 × 5,234.28
  4. Step 4: Simplify right side
    14,468.28x = 113,613,816.08
  5. Step 5: Solve for x
    x = 113,613,816.08/14,468.28
  6. Step 6: Final answer
    x = 7,852.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.