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Finding the Fourth Proportional to 14,591, 21,884.88 and 5,230.64

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Solution

The fourth proportional to 14,591, 21,884.88 and 5,230.64 is: 7,845.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,591 : 21,884.88 = 5,230.64 : x
  2. Step 2: Convert to fraction form
    14,591/21,884.88 = 5,230.64/x
  3. Step 3: Cross multiply
    14,591x = 21,884.88 × 5,230.64
  4. Step 4: Simplify right side
    14,591x = 114,471,928.72
  5. Step 5: Solve for x
    x = 114,471,928.72/14,591
  6. Step 6: Final answer
    x = 7,845.38

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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.