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Finding the Fourth Proportional to 27,821.96, 41,732.94 and 7,047.08

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Solution

The fourth proportional to 27,821.96, 41,732.94 and 7,047.08 is: 10,570.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,821.96 : 41,732.94 = 7,047.08 : x
  2. Step 2: Convert to fraction form
    27,821.96/41,732.94 = 7,047.08/x
  3. Step 3: Cross multiply
    27,821.96x = 41,732.94 × 7,047.08
  4. Step 4: Simplify right side
    27,821.96x = 294,095,366.82
  5. Step 5: Solve for x
    x = 294,095,366.82/27,821.96
  6. Step 6: Final answer
    x = 10,570.62

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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.