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Finding the Fourth Proportional to 12,681.50, 19,022.30 and 3,447.50

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Solution

The fourth proportional to 12,681.50, 19,022.30 and 3,447.50 is: 5,171.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,681.50 : 19,022.30 = 3,447.50 : x
  2. Step 2: Convert to fraction form
    12,681.50/19,022.30 = 3,447.50/x
  3. Step 3: Cross multiply
    12,681.50x = 19,022.30 × 3,447.50
  4. Step 4: Simplify right side
    12,681.50x = 65,579,362.01
  5. Step 5: Solve for x
    x = 65,579,362.01/12,681.50
  6. Step 6: Final answer
    x = 5,171.26

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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.