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Finding the Fourth Proportional to 13,828.98, 20,744.76 and 5,506.99

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Solution

The fourth proportional to 13,828.98, 20,744.76 and 5,506.99 is: 8,261.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,828.98 : 20,744.76 = 5,506.99 : x
  2. Step 2: Convert to fraction form
    13,828.98/20,744.76 = 5,506.99/x
  3. Step 3: Cross multiply
    13,828.98x = 20,744.76 × 5,506.99
  4. Step 4: Simplify right side
    13,828.98x = 114,241,123.68
  5. Step 5: Solve for x
    x = 114,241,123.68/13,828.98
  6. Step 6: Final answer
    x = 8,261.00

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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.