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Finding the Fourth Proportional to 9,814.84, 14,722.24 and 8,076.44

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Solution

The fourth proportional to 9,814.84, 14,722.24 and 8,076.44 is: 12,114.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.84 : 14,722.24 = 8,076.44 : x
  2. Step 2: Convert to fraction form
    9,814.84/14,722.24 = 8,076.44/x
  3. Step 3: Cross multiply
    9,814.84x = 14,722.24 × 8,076.44
  4. Step 4: Simplify right side
    9,814.84x = 118,903,288.03
  5. Step 5: Solve for x
    x = 118,903,288.03/9,814.84
  6. Step 6: Final answer
    x = 12,114.64

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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.