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Finding the Fourth Proportional to 12,969.98, 19,462.53 and 5,473.08

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Solution

The fourth proportional to 12,969.98, 19,462.53 and 5,473.08 is: 8,212.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,969.98 : 19,462.53 = 5,473.08 : x
  2. Step 2: Convert to fraction form
    12,969.98/19,462.53 = 5,473.08/x
  3. Step 3: Cross multiply
    12,969.98x = 19,462.53 × 5,473.08
  4. Step 4: Simplify right side
    12,969.98x = 106,519,983.69
  5. Step 5: Solve for x
    x = 106,519,983.69/12,969.98
  6. Step 6: Final answer
    x = 8,212.81

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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.