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Finding the Fourth Proportional to 14,765.94, 22,130.21 and 6,443.73

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Solution

The fourth proportional to 14,765.94, 22,130.21 and 6,443.73 is: 9,657.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,765.94 : 22,130.21 = 6,443.73 : x
  2. Step 2: Convert to fraction form
    14,765.94/22,130.21 = 6,443.73/x
  3. Step 3: Cross multiply
    14,765.94x = 22,130.21 × 6,443.73
  4. Step 4: Simplify right side
    14,765.94x = 142,601,114.19
  5. Step 5: Solve for x
    x = 142,601,114.19/14,765.94
  6. Step 6: Final answer
    x = 9,657.44

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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.