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Finding the Fourth Proportional to 11,762.10, 16,231.86 and 6,457.32

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Solution

The fourth proportional to 11,762.10, 16,231.86 and 6,457.32 is: 8,911.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,762.10 : 16,231.86 = 6,457.32 : x
  2. Step 2: Convert to fraction form
    11,762.10/16,231.86 = 6,457.32/x
  3. Step 3: Cross multiply
    11,762.10x = 16,231.86 × 6,457.32
  4. Step 4: Simplify right side
    11,762.10x = 104,814,314.22
  5. Step 5: Solve for x
    x = 104,814,314.22/11,762.10
  6. Step 6: Final answer
    x = 8,911.19

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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.