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Finding the Fourth Proportional to 14,388.64, 21,584.02 and 5,027.57

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Solution

The fourth proportional to 14,388.64, 21,584.02 and 5,027.57 is: 7,541.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,388.64 : 21,584.02 = 5,027.57 : x
  2. Step 2: Convert to fraction form
    14,388.64/21,584.02 = 5,027.57/x
  3. Step 3: Cross multiply
    14,388.64x = 21,584.02 × 5,027.57
  4. Step 4: Simplify right side
    14,388.64x = 108,515,141.31
  5. Step 5: Solve for x
    x = 108,515,141.31/14,388.64
  6. Step 6: Final answer
    x = 7,541.72

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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.