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Finding the Fourth Proportional to 9,750.96, 14,607 and 7,414.92

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Solution

The fourth proportional to 9,750.96, 14,607 and 7,414.92 is: 11,107.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,750.96 : 14,607 = 7,414.92 : x
  2. Step 2: Convert to fraction form
    9,750.96/14,607 = 7,414.92/x
  3. Step 3: Cross multiply
    9,750.96x = 14,607 × 7,414.92
  4. Step 4: Simplify right side
    9,750.96x = 108,309,736.44
  5. Step 5: Solve for x
    x = 108,309,736.44/9,750.96
  6. Step 6: Final answer
    x = 11,107.60

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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.