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Finding the Fourth Proportional to 14,873.14, 20,524.87 and 9,206.75

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Solution

The fourth proportional to 14,873.14, 20,524.87 and 9,206.75 is: 12,705.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,873.14 : 20,524.87 = 9,206.75 : x
  2. Step 2: Convert to fraction form
    14,873.14/20,524.87 = 9,206.75/x
  3. Step 3: Cross multiply
    14,873.14x = 20,524.87 × 9,206.75
  4. Step 4: Simplify right side
    14,873.14x = 188,967,430.91
  5. Step 5: Solve for x
    x = 188,967,430.91/14,873.14
  6. Step 6: Final answer
    x = 12,705.29

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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.