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Finding the Fourth Proportional to 11,762.45, 16,232.16 and 6,457.25

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Solution

The fourth proportional to 11,762.45, 16,232.16 and 6,457.25 is: 8,910.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,762.45 : 16,232.16 = 6,457.25 : x
  2. Step 2: Convert to fraction form
    11,762.45/16,232.16 = 6,457.25/x
  3. Step 3: Cross multiply
    11,762.45x = 16,232.16 × 6,457.25
  4. Step 4: Simplify right side
    11,762.45x = 104,815,115.16
  5. Step 5: Solve for x
    x = 104,815,115.16/11,762.45
  6. Step 6: Final answer
    x = 8,910.99

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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.