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Finding the Fourth Proportional to 19,198, 26,493.30 and 10,814.68

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Solution

The fourth proportional to 19,198, 26,493.30 and 10,814.68 is: 14,924.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,198 : 26,493.30 = 10,814.68 : x
  2. Step 2: Convert to fraction form
    19,198/26,493.30 = 10,814.68/x
  3. Step 3: Cross multiply
    19,198x = 26,493.30 × 10,814.68
  4. Step 4: Simplify right side
    19,198x = 286,516,561.64
  5. Step 5: Solve for x
    x = 286,516,561.64/19,198
  6. Step 6: Final answer
    x = 14,924.29

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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.