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Finding the Fourth Proportional to 11,914.16, 16,452 and 7,445.54

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Solution

The fourth proportional to 11,914.16, 16,452 and 7,445.54 is: 10,281.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,914.16 : 16,452 = 7,445.54 : x
  2. Step 2: Convert to fraction form
    11,914.16/16,452 = 7,445.54/x
  3. Step 3: Cross multiply
    11,914.16x = 16,452 × 7,445.54
  4. Step 4: Simplify right side
    11,914.16x = 122,493,941.82
  5. Step 5: Solve for x
    x = 122,493,941.82/11,914.16
  6. Step 6: Final answer
    x = 10,281.38

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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.