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Finding the Fourth Proportional to 14,446.50, 19,936.20 and 7,822.50

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Solution

The fourth proportional to 14,446.50, 19,936.20 and 7,822.50 is: 10,795.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,446.50 : 19,936.20 = 7,822.50 : x
  2. Step 2: Convert to fraction form
    14,446.50/19,936.20 = 7,822.50/x
  3. Step 3: Cross multiply
    14,446.50x = 19,936.20 × 7,822.50
  4. Step 4: Simplify right side
    14,446.50x = 155,950,924.50
  5. Step 5: Solve for x
    x = 155,950,924.50/14,446.50
  6. Step 6: Final answer
    x = 10,795.07

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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.