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Finding the Fourth Proportional to 12,468.53, 17,206.29 and 7,163.24

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Solution

The fourth proportional to 12,468.53, 17,206.29 and 7,163.24 is: 9,885.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,468.53 : 17,206.29 = 7,163.24 : x
  2. Step 2: Convert to fraction form
    12,468.53/17,206.29 = 7,163.24/x
  3. Step 3: Cross multiply
    12,468.53x = 17,206.29 × 7,163.24
  4. Step 4: Simplify right side
    12,468.53x = 123,252,698.75
  5. Step 5: Solve for x
    x = 123,252,698.75/12,468.53
  6. Step 6: Final answer
    x = 9,885.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.