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Finding the Fourth Proportional to 10,381.74, 14,326.74 and 5,905.48

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Solution

The fourth proportional to 10,381.74, 14,326.74 and 5,905.48 is: 8,149.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,381.74 : 14,326.74 = 5,905.48 : x
  2. Step 2: Convert to fraction form
    10,381.74/14,326.74 = 5,905.48/x
  3. Step 3: Cross multiply
    10,381.74x = 14,326.74 × 5,905.48
  4. Step 4: Simplify right side
    10,381.74x = 84,606,276.54
  5. Step 5: Solve for x
    x = 84,606,276.54/10,381.74
  6. Step 6: Final answer
    x = 8,149.53

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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.