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Finding the Fourth Proportional to 15,627.92, 23,441.86 and 7,834.90

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Solution

The fourth proportional to 15,627.92, 23,441.86 and 7,834.90 is: 11,752.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,627.92 : 23,441.86 = 7,834.90 : x
  2. Step 2: Convert to fraction form
    15,627.92/23,441.86 = 7,834.90/x
  3. Step 3: Cross multiply
    15,627.92x = 23,441.86 × 7,834.90
  4. Step 4: Simplify right side
    15,627.92x = 183,664,628.91
  5. Step 5: Solve for x
    x = 183,664,628.91/15,627.92
  6. Step 6: Final answer
    x = 11,752.34

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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.