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Finding the Fourth Proportional to 14,843, 22,245.06 and 8,272.28

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Solution

The fourth proportional to 14,843, 22,245.06 and 8,272.28 is: 12,397.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,843 : 22,245.06 = 8,272.28 : x
  2. Step 2: Convert to fraction form
    14,843/22,245.06 = 8,272.28/x
  3. Step 3: Cross multiply
    14,843x = 22,245.06 × 8,272.28
  4. Step 4: Simplify right side
    14,843x = 184,017,364.94
  5. Step 5: Solve for x
    x = 184,017,364.94/14,843
  6. Step 6: Final answer
    x = 12,397.59

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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.