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Finding the Fourth Proportional to 14,917.25, 20,585.46 and 8,111.12

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Solution

The fourth proportional to 14,917.25, 20,585.46 and 8,111.12 is: 11,193.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,917.25 : 20,585.46 = 8,111.12 : x
  2. Step 2: Convert to fraction form
    14,917.25/20,585.46 = 8,111.12/x
  3. Step 3: Cross multiply
    14,917.25x = 20,585.46 × 8,111.12
  4. Step 4: Simplify right side
    14,917.25x = 166,971,141.00
  5. Step 5: Solve for x
    x = 166,971,141.00/14,917.25
  6. Step 6: Final answer
    x = 11,193.16

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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.