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Finding the Fourth Proportional to 13,195.71, 19,794.18 and 7,347.93

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Solution

The fourth proportional to 13,195.71, 19,794.18 and 7,347.93 is: 11,022.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,195.71 : 19,794.18 = 7,347.93 : x
  2. Step 2: Convert to fraction form
    13,195.71/19,794.18 = 7,347.93/x
  3. Step 3: Cross multiply
    13,195.71x = 19,794.18 × 7,347.93
  4. Step 4: Simplify right side
    13,195.71x = 145,446,249.05
  5. Step 5: Solve for x
    x = 145,446,249.05/13,195.71
  6. Step 6: Final answer
    x = 11,022.24

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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.