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Finding the Fourth Proportional to 13,411.94, 20,118.02 and 4,051.98

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Solution

The fourth proportional to 13,411.94, 20,118.02 and 4,051.98 is: 6,078.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,411.94 : 20,118.02 = 4,051.98 : x
  2. Step 2: Convert to fraction form
    13,411.94/20,118.02 = 4,051.98/x
  3. Step 3: Cross multiply
    13,411.94x = 20,118.02 × 4,051.98
  4. Step 4: Simplify right side
    13,411.94x = 81,517,814.68
  5. Step 5: Solve for x
    x = 81,517,814.68/13,411.94
  6. Step 6: Final answer
    x = 6,078.00

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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.