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Finding the Fourth Proportional to 11,762.67, 16,232.77 and 6,457.58

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Solution

The fourth proportional to 11,762.67, 16,232.77 and 6,457.58 is: 8,911.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,762.67 : 16,232.77 = 6,457.58 : x
  2. Step 2: Convert to fraction form
    11,762.67/16,232.77 = 6,457.58/x
  3. Step 3: Cross multiply
    11,762.67x = 16,232.77 × 6,457.58
  4. Step 4: Simplify right side
    11,762.67x = 104,824,410.90
  5. Step 5: Solve for x
    x = 104,824,410.90/11,762.67
  6. Step 6: Final answer
    x = 8,911.62

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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.