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Finding the Fourth Proportional to 11,898.26, 16,414.88 and 7,648.60

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Solution

The fourth proportional to 11,898.26, 16,414.88 and 7,648.60 is: 10,552.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,898.26 : 16,414.88 = 7,648.60 : x
  2. Step 2: Convert to fraction form
    11,898.26/16,414.88 = 7,648.60/x
  3. Step 3: Cross multiply
    11,898.26x = 16,414.88 × 7,648.60
  4. Step 4: Simplify right side
    11,898.26x = 125,550,851.17
  5. Step 5: Solve for x
    x = 125,550,851.17/11,898.26
  6. Step 6: Final answer
    x = 10,552.03

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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.