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Finding the Fourth Proportional to 14,422.56, 21,634.02 and 5,661.60

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Solution

The fourth proportional to 14,422.56, 21,634.02 and 5,661.60 is: 8,492.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,422.56 : 21,634.02 = 5,661.60 : x
  2. Step 2: Convert to fraction form
    14,422.56/21,634.02 = 5,661.60/x
  3. Step 3: Cross multiply
    14,422.56x = 21,634.02 × 5,661.60
  4. Step 4: Simplify right side
    14,422.56x = 122,483,167.63
  5. Step 5: Solve for x
    x = 122,483,167.63/14,422.56
  6. Step 6: Final answer
    x = 8,492.47

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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.