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Finding the Fourth Proportional to 14,879.46, 20,534.16 and 8,165.10

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Solution

The fourth proportional to 14,879.46, 20,534.16 and 8,165.10 is: 11,268.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,879.46 : 20,534.16 = 8,165.10 : x
  2. Step 2: Convert to fraction form
    14,879.46/20,534.16 = 8,165.10/x
  3. Step 3: Cross multiply
    14,879.46x = 20,534.16 × 8,165.10
  4. Step 4: Simplify right side
    14,879.46x = 167,663,469.82
  5. Step 5: Solve for x
    x = 167,663,469.82/14,879.46
  6. Step 6: Final answer
    x = 11,268.12

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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.