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Finding the Fourth Proportional to 14,557.60, 21,838.02 and 5,321.44

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Solution

The fourth proportional to 14,557.60, 21,838.02 and 5,321.44 is: 7,982.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,557.60 : 21,838.02 = 5,321.44 : x
  2. Step 2: Convert to fraction form
    14,557.60/21,838.02 = 5,321.44/x
  3. Step 3: Cross multiply
    14,557.60x = 21,838.02 × 5,321.44
  4. Step 4: Simplify right side
    14,557.60x = 116,209,713.15
  5. Step 5: Solve for x
    x = 116,209,713.15/14,557.60
  6. Step 6: Final answer
    x = 7,982.75

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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.