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Finding the Fourth Proportional to 25,168.92, 37,752.12 and 7,640.16

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Solution

The fourth proportional to 25,168.92, 37,752.12 and 7,640.16 is: 11,459.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,168.92 : 37,752.12 = 7,640.16 : x
  2. Step 2: Convert to fraction form
    25,168.92/37,752.12 = 7,640.16/x
  3. Step 3: Cross multiply
    25,168.92x = 37,752.12 × 7,640.16
  4. Step 4: Simplify right side
    25,168.92x = 288,432,237.14
  5. Step 5: Solve for x
    x = 288,432,237.14/25,168.92
  6. Step 6: Final answer
    x = 11,459.86

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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.