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Finding the Fourth Proportional to 14,616.24, 21,932.72 and 6,182.08

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Solution

The fourth proportional to 14,616.24, 21,932.72 and 6,182.08 is: 9,276.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,616.24 : 21,932.72 = 6,182.08 : x
  2. Step 2: Convert to fraction form
    14,616.24/21,932.72 = 6,182.08/x
  3. Step 3: Cross multiply
    14,616.24x = 21,932.72 × 6,182.08
  4. Step 4: Simplify right side
    14,616.24x = 135,589,829.66
  5. Step 5: Solve for x
    x = 135,589,829.66/14,616.24
  6. Step 6: Final answer
    x = 9,276.66

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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.