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Finding the Fourth Proportional to 14,624.94, 21,940.65 and 6,829.50

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Solution

The fourth proportional to 14,624.94, 21,940.65 and 6,829.50 is: 10,245.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,624.94 : 21,940.65 = 6,829.50 : x
  2. Step 2: Convert to fraction form
    14,624.94/21,940.65 = 6,829.50/x
  3. Step 3: Cross multiply
    14,624.94x = 21,940.65 × 6,829.50
  4. Step 4: Simplify right side
    14,624.94x = 149,843,669.18
  5. Step 5: Solve for x
    x = 149,843,669.18/14,624.94
  6. Step 6: Final answer
    x = 10,245.76

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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.