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Finding the Fourth Proportional to 13,412.14, 18,506.86 and 8,033.31

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Solution

The fourth proportional to 13,412.14, 18,506.86 and 8,033.31 is: 11,084.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,412.14 : 18,506.86 = 8,033.31 : x
  2. Step 2: Convert to fraction form
    13,412.14/18,506.86 = 8,033.31/x
  3. Step 3: Cross multiply
    13,412.14x = 18,506.86 × 8,033.31
  4. Step 4: Simplify right side
    13,412.14x = 148,671,343.51
  5. Step 5: Solve for x
    x = 148,671,343.51/13,412.14
  6. Step 6: Final answer
    x = 11,084.83

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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.