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Finding the Fourth Proportional to 11,382.96, 15,684.12 and 7,650.48

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Solution

The fourth proportional to 11,382.96, 15,684.12 and 7,650.48 is: 10,541.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,382.96 : 15,684.12 = 7,650.48 : x
  2. Step 2: Convert to fraction form
    11,382.96/15,684.12 = 7,650.48/x
  3. Step 3: Cross multiply
    11,382.96x = 15,684.12 × 7,650.48
  4. Step 4: Simplify right side
    11,382.96x = 119,991,046.38
  5. Step 5: Solve for x
    x = 119,991,046.38/11,382.96
  6. Step 6: Final answer
    x = 10,541.29

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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.