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Finding the Fourth Proportional to 14,525.67, 21,797.72 and 6,205.74

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Solution

The fourth proportional to 14,525.67, 21,797.72 and 6,205.74 is: 9,312.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,525.67 : 21,797.72 = 6,205.74 : x
  2. Step 2: Convert to fraction form
    14,525.67/21,797.72 = 6,205.74/x
  3. Step 3: Cross multiply
    14,525.67x = 21,797.72 × 6,205.74
  4. Step 4: Simplify right side
    14,525.67x = 135,271,059.88
  5. Step 5: Solve for x
    x = 135,271,059.88/14,525.67
  6. Step 6: Final answer
    x = 9,312.56

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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.