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Finding the Fourth Proportional to 13,407.96, 18,504 and 7,439.58

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Solution

The fourth proportional to 13,407.96, 18,504 and 7,439.58 is: 10,267.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,407.96 : 18,504 = 7,439.58 : x
  2. Step 2: Convert to fraction form
    13,407.96/18,504 = 7,439.58/x
  3. Step 3: Cross multiply
    13,407.96x = 18,504 × 7,439.58
  4. Step 4: Simplify right side
    13,407.96x = 137,661,988.32
  5. Step 5: Solve for x
    x = 137,661,988.32/13,407.96
  6. Step 6: Final answer
    x = 10,267.18

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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.