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Finding the Fourth Proportional to 14,853.54, 20,497.86 and 8,139

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Solution

The fourth proportional to 14,853.54, 20,497.86 and 8,139 is: 11,231.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,853.54 : 20,497.86 = 8,139 : x
  2. Step 2: Convert to fraction form
    14,853.54/20,497.86 = 8,139/x
  3. Step 3: Cross multiply
    14,853.54x = 20,497.86 × 8,139
  4. Step 4: Simplify right side
    14,853.54x = 166,832,082.54
  5. Step 5: Solve for x
    x = 166,832,082.54/14,853.54
  6. Step 6: Final answer
    x = 11,231.81

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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.