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Finding the Fourth Proportional to 14,644.60, 21,966.90 and 4,114.60

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Solution

The fourth proportional to 14,644.60, 21,966.90 and 4,114.60 is: 6,171.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,644.60 : 21,966.90 = 4,114.60 : x
  2. Step 2: Convert to fraction form
    14,644.60/21,966.90 = 4,114.60/x
  3. Step 3: Cross multiply
    14,644.60x = 21,966.90 × 4,114.60
  4. Step 4: Simplify right side
    14,644.60x = 90,385,006.74
  5. Step 5: Solve for x
    x = 90,385,006.74/14,644.60
  6. Step 6: Final answer
    x = 6,171.90

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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.