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Finding the Fourth Proportional to 10,654.94, 14,703.21 and 5,939.06

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Solution

The fourth proportional to 10,654.94, 14,703.21 and 5,939.06 is: 8,195.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,654.94 : 14,703.21 = 5,939.06 : x
  2. Step 2: Convert to fraction form
    10,654.94/14,703.21 = 5,939.06/x
  3. Step 3: Cross multiply
    10,654.94x = 14,703.21 × 5,939.06
  4. Step 4: Simplify right side
    10,654.94x = 87,323,246.38
  5. Step 5: Solve for x
    x = 87,323,246.38/10,654.94
  6. Step 6: Final answer
    x = 8,195.56

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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.