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Finding the Fourth Proportional to 13,471.93, 20,208.93 and 4,112.77

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Solution

The fourth proportional to 13,471.93, 20,208.93 and 4,112.77 is: 6,169.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,471.93 : 20,208.93 = 4,112.77 : x
  2. Step 2: Convert to fraction form
    13,471.93/20,208.93 = 4,112.77/x
  3. Step 3: Cross multiply
    13,471.93x = 20,208.93 × 4,112.77
  4. Step 4: Simplify right side
    13,471.93x = 83,114,681.04
  5. Step 5: Solve for x
    x = 83,114,681.04/13,471.93
  6. Step 6: Final answer
    x = 6,169.47

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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.