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Finding the Fourth Proportional to 14,523.28, 21,782.86 and 4,661.28

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Solution

The fourth proportional to 14,523.28, 21,782.86 and 4,661.28 is: 6,991.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,523.28 : 21,782.86 = 4,661.28 : x
  2. Step 2: Convert to fraction form
    14,523.28/21,782.86 = 4,661.28/x
  3. Step 3: Cross multiply
    14,523.28x = 21,782.86 × 4,661.28
  4. Step 4: Simplify right side
    14,523.28x = 101,536,064.12
  5. Step 5: Solve for x
    x = 101,536,064.12/14,523.28
  6. Step 6: Final answer
    x = 6,991.26

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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.