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Finding the Fourth Proportional to 14,687.82, 20,268.86 and 7,973.46

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Solution

The fourth proportional to 14,687.82, 20,268.86 and 7,973.46 is: 11,003.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,687.82 : 20,268.86 = 7,973.46 : x
  2. Step 2: Convert to fraction form
    14,687.82/20,268.86 = 7,973.46/x
  3. Step 3: Cross multiply
    14,687.82x = 20,268.86 × 7,973.46
  4. Step 4: Simplify right side
    14,687.82x = 161,612,944.46
  5. Step 5: Solve for x
    x = 161,612,944.46/14,687.82
  6. Step 6: Final answer
    x = 11,003.19

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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.