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Finding the Fourth Proportional to 11,914.22, 16,443.74 and 6,877.74

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Solution

The fourth proportional to 11,914.22, 16,443.74 and 6,877.74 is: 9,492.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,914.22 : 16,443.74 = 6,877.74 : x
  2. Step 2: Convert to fraction form
    11,914.22/16,443.74 = 6,877.74/x
  3. Step 3: Cross multiply
    11,914.22x = 16,443.74 × 6,877.74
  4. Step 4: Simplify right side
    11,914.22x = 113,095,768.35
  5. Step 5: Solve for x
    x = 113,095,768.35/11,914.22
  6. Step 6: Final answer
    x = 9,492.50

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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.