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Finding the Fourth Proportional to 11,762.55, 16,231.83 and 6,457.49

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Solution

The fourth proportional to 11,762.55, 16,231.83 and 6,457.49 is: 8,911.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,762.55 : 16,231.83 = 6,457.49 : x
  2. Step 2: Convert to fraction form
    11,762.55/16,231.83 = 6,457.49/x
  3. Step 3: Cross multiply
    11,762.55x = 16,231.83 × 6,457.49
  4. Step 4: Simplify right side
    11,762.55x = 104,816,835.40
  5. Step 5: Solve for x
    x = 104,816,835.40/11,762.55
  6. Step 6: Final answer
    x = 8,911.06

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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.