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Finding the Fourth Proportional to 13,002.80, 19,504.20 and 3,642.80

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Solution

The fourth proportional to 13,002.80, 19,504.20 and 3,642.80 is: 5,464.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,002.80 : 19,504.20 = 3,642.80 : x
  2. Step 2: Convert to fraction form
    13,002.80/19,504.20 = 3,642.80/x
  3. Step 3: Cross multiply
    13,002.80x = 19,504.20 × 3,642.80
  4. Step 4: Simplify right side
    13,002.80x = 71,049,899.76
  5. Step 5: Solve for x
    x = 71,049,899.76/13,002.80
  6. Step 6: Final answer
    x = 5,464.20

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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.