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Finding the Fourth Proportional to 5,295.50, 7,943.79 and 1,832.74

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Solution

The fourth proportional to 5,295.50, 7,943.79 and 1,832.74 is: 2,749.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,295.50 : 7,943.79 = 1,832.74 : x
  2. Step 2: Convert to fraction form
    5,295.50/7,943.79 = 1,832.74/x
  3. Step 3: Cross multiply
    5,295.50x = 7,943.79 × 1,832.74
  4. Step 4: Simplify right side
    5,295.50x = 14,558,901.68
  5. Step 5: Solve for x
    x = 14,558,901.68/5,295.50
  6. Step 6: Final answer
    x = 2,749.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.