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Finding the Fourth Proportional to 13,412.07, 20,118.10 and 4,178.07

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Solution

The fourth proportional to 13,412.07, 20,118.10 and 4,178.07 is: 6,267.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,412.07 : 20,118.10 = 4,178.07 : x
  2. Step 2: Convert to fraction form
    13,412.07/20,118.10 = 4,178.07/x
  3. Step 3: Cross multiply
    13,412.07x = 20,118.10 × 4,178.07
  4. Step 4: Simplify right side
    13,412.07x = 84,054,708.59
  5. Step 5: Solve for x
    x = 84,054,708.59/13,412.07
  6. Step 6: Final answer
    x = 6,267.10

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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.