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Finding the Fourth Proportional to 13,193.01, 18,195.71 and 8,411.47

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Solution

The fourth proportional to 13,193.01, 18,195.71 and 8,411.47 is: 11,601.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,193.01 : 18,195.71 = 8,411.47 : x
  2. Step 2: Convert to fraction form
    13,193.01/18,195.71 = 8,411.47/x
  3. Step 3: Cross multiply
    13,193.01x = 18,195.71 × 8,411.47
  4. Step 4: Simplify right side
    13,193.01x = 153,052,581.25
  5. Step 5: Solve for x
    x = 153,052,581.25/13,193.01
  6. Step 6: Final answer
    x = 11,601.04

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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.