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Finding the Fourth Proportional to 14,546.88, 21,822.48 and 7,150.32

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Solution

The fourth proportional to 14,546.88, 21,822.48 and 7,150.32 is: 10,726.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,546.88 : 21,822.48 = 7,150.32 : x
  2. Step 2: Convert to fraction form
    14,546.88/21,822.48 = 7,150.32/x
  3. Step 3: Cross multiply
    14,546.88x = 21,822.48 × 7,150.32
  4. Step 4: Simplify right side
    14,546.88x = 156,037,715.19
  5. Step 5: Solve for x
    x = 156,037,715.19/14,546.88
  6. Step 6: Final answer
    x = 10,726.54

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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.