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Finding the Fourth Proportional to 14,644.64, 21,962.42 and 5,283.44

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Solution

The fourth proportional to 14,644.64, 21,962.42 and 5,283.44 is: 7,923.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,644.64 : 21,962.42 = 5,283.44 : x
  2. Step 2: Convert to fraction form
    14,644.64/21,962.42 = 5,283.44/x
  3. Step 3: Cross multiply
    14,644.64x = 21,962.42 × 5,283.44
  4. Step 4: Simplify right side
    14,644.64x = 116,037,228.50
  5. Step 5: Solve for x
    x = 116,037,228.50/14,644.64
  6. Step 6: Final answer
    x = 7,923.53

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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.