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Finding the Fourth Proportional to 14,325.71, 19,769.69 and 7,952.71

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Solution

The fourth proportional to 14,325.71, 19,769.69 and 7,952.71 is: 10,974.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,325.71 : 19,769.69 = 7,952.71 : x
  2. Step 2: Convert to fraction form
    14,325.71/19,769.69 = 7,952.71/x
  3. Step 3: Cross multiply
    14,325.71x = 19,769.69 × 7,952.71
  4. Step 4: Simplify right side
    14,325.71x = 157,222,611.36
  5. Step 5: Solve for x
    x = 157,222,611.36/14,325.71
  6. Step 6: Final answer
    x = 10,974.86

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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.