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Finding the Fourth Proportional to 11,762.62, 16,232.13 and 6,457.39

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Solution

The fourth proportional to 11,762.62, 16,232.13 and 6,457.39 is: 8,911.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,762.62 : 16,232.13 = 6,457.39 : x
  2. Step 2: Convert to fraction form
    11,762.62/16,232.13 = 6,457.39/x
  3. Step 3: Cross multiply
    11,762.62x = 16,232.13 × 6,457.39
  4. Step 4: Simplify right side
    11,762.62x = 104,817,193.94
  5. Step 5: Solve for x
    x = 104,817,193.94/11,762.62
  6. Step 6: Final answer
    x = 8,911.04

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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.