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Finding the Fourth Proportional to 11,762.74, 16,232.48 and 6,457.45

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Solution

The fourth proportional to 11,762.74, 16,232.48 and 6,457.45 is: 8,911.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,762.74 : 16,232.48 = 6,457.45 : x
  2. Step 2: Convert to fraction form
    11,762.74/16,232.48 = 6,457.45/x
  3. Step 3: Cross multiply
    11,762.74x = 16,232.48 × 6,457.45
  4. Step 4: Simplify right side
    11,762.74x = 104,820,427.98
  5. Step 5: Solve for x
    x = 104,820,427.98/11,762.74
  6. Step 6: Final answer
    x = 8,911.23

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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.