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Finding the Fourth Proportional to 27,230.34, 40,820.78 and 9,696.06

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Solution

The fourth proportional to 27,230.34, 40,820.78 and 9,696.06 is: 14,535.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,230.34 : 40,820.78 = 9,696.06 : x
  2. Step 2: Convert to fraction form
    27,230.34/40,820.78 = 9,696.06/x
  3. Step 3: Cross multiply
    27,230.34x = 40,820.78 × 9,696.06
  4. Step 4: Simplify right side
    27,230.34x = 395,800,683.65
  5. Step 5: Solve for x
    x = 395,800,683.65/27,230.34
  6. Step 6: Final answer
    x = 14,535.28

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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.