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Finding the Fourth Proportional to 13,078.50, 18,044.34 and 7,412.34

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Solution

The fourth proportional to 13,078.50, 18,044.34 and 7,412.34 is: 10,226.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,078.50 : 18,044.34 = 7,412.34 : x
  2. Step 2: Convert to fraction form
    13,078.50/18,044.34 = 7,412.34/x
  3. Step 3: Cross multiply
    13,078.50x = 18,044.34 × 7,412.34
  4. Step 4: Simplify right side
    13,078.50x = 133,750,783.16
  5. Step 5: Solve for x
    x = 133,750,783.16/13,078.50
  6. Step 6: Final answer
    x = 10,226.77

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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.