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Finding the Fourth Proportional to 14,546.52, 21,825.18 and 7,616.16

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Solution

The fourth proportional to 14,546.52, 21,825.18 and 7,616.16 is: 11,427.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,546.52 : 21,825.18 = 7,616.16 : x
  2. Step 2: Convert to fraction form
    14,546.52/21,825.18 = 7,616.16/x
  3. Step 3: Cross multiply
    14,546.52x = 21,825.18 × 7,616.16
  4. Step 4: Simplify right side
    14,546.52x = 166,224,062.91
  5. Step 5: Solve for x
    x = 166,224,062.91/14,546.52
  6. Step 6: Final answer
    x = 11,427.07

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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.