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Finding the Fourth Proportional to 14,153.02, 21,232.08 and 5,828.49

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Solution

The fourth proportional to 14,153.02, 21,232.08 and 5,828.49 is: 8,743.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,153.02 : 21,232.08 = 5,828.49 : x
  2. Step 2: Convert to fraction form
    14,153.02/21,232.08 = 5,828.49/x
  3. Step 3: Cross multiply
    14,153.02x = 21,232.08 × 5,828.49
  4. Step 4: Simplify right side
    14,153.02x = 123,750,965.96
  5. Step 5: Solve for x
    x = 123,750,965.96/14,153.02
  6. Step 6: Final answer
    x = 8,743.79

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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.