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Finding the Fourth Proportional to 11,752.92, 17,632.02 and 3,961.50

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Solution

The fourth proportional to 11,752.92, 17,632.02 and 3,961.50 is: 5,943.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,752.92 : 17,632.02 = 3,961.50 : x
  2. Step 2: Convert to fraction form
    11,752.92/17,632.02 = 3,961.50/x
  3. Step 3: Cross multiply
    11,752.92x = 17,632.02 × 3,961.50
  4. Step 4: Simplify right side
    11,752.92x = 69,849,247.23
  5. Step 5: Solve for x
    x = 69,849,247.23/11,752.92
  6. Step 6: Final answer
    x = 5,943.14

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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.