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Finding the Fourth Proportional to 13,466.16, 20,161.98 and 6,878.16

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Solution

The fourth proportional to 13,466.16, 20,161.98 and 6,878.16 is: 10,298.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,466.16 : 20,161.98 = 6,878.16 : x
  2. Step 2: Convert to fraction form
    13,466.16/20,161.98 = 6,878.16/x
  3. Step 3: Cross multiply
    13,466.16x = 20,161.98 × 6,878.16
  4. Step 4: Simplify right side
    13,466.16x = 138,677,324.36
  5. Step 5: Solve for x
    x = 138,677,324.36/13,466.16
  6. Step 6: Final answer
    x = 10,298.21

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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.