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Finding the Fourth Proportional to 11,469.42, 15,821.97 and 7,492.86

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Solution

The fourth proportional to 11,469.42, 15,821.97 and 7,492.86 is: 10,336.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,469.42 : 15,821.97 = 7,492.86 : x
  2. Step 2: Convert to fraction form
    11,469.42/15,821.97 = 7,492.86/x
  3. Step 3: Cross multiply
    11,469.42x = 15,821.97 × 7,492.86
  4. Step 4: Simplify right side
    11,469.42x = 118,551,768.67
  5. Step 5: Solve for x
    x = 118,551,768.67/11,469.42
  6. Step 6: Final answer
    x = 10,336.34

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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.