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Finding the Fourth Proportional to 19,406.50, 26,780.97 and 10,574.50

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Solution

The fourth proportional to 19,406.50, 26,780.97 and 10,574.50 is: 14,592.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,406.50 : 26,780.97 = 10,574.50 : x
  2. Step 2: Convert to fraction form
    19,406.50/26,780.97 = 10,574.50/x
  3. Step 3: Cross multiply
    19,406.50x = 26,780.97 × 10,574.50
  4. Step 4: Simplify right side
    19,406.50x = 283,195,367.27
  5. Step 5: Solve for x
    x = 283,195,367.27/19,406.50
  6. Step 6: Final answer
    x = 14,592.81

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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.