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Finding the Fourth Proportional to 13,846.19, 19,101.96 and 8,813.16

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Solution

The fourth proportional to 13,846.19, 19,101.96 and 8,813.16 is: 12,158.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,846.19 : 19,101.96 = 8,813.16 : x
  2. Step 2: Convert to fraction form
    13,846.19/19,101.96 = 8,813.16/x
  3. Step 3: Cross multiply
    13,846.19x = 19,101.96 × 8,813.16
  4. Step 4: Simplify right side
    13,846.19x = 168,348,629.79
  5. Step 5: Solve for x
    x = 168,348,629.79/13,846.19
  6. Step 6: Final answer
    x = 12,158.48

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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.