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Finding the Fourth Proportional to 11,764.68, 16,235.22 and 6,459.54

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Solution

The fourth proportional to 11,764.68, 16,235.22 and 6,459.54 is: 8,914.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,764.68 : 16,235.22 = 6,459.54 : x
  2. Step 2: Convert to fraction form
    11,764.68/16,235.22 = 6,459.54/x
  3. Step 3: Cross multiply
    11,764.68x = 16,235.22 × 6,459.54
  4. Step 4: Simplify right side
    11,764.68x = 104,872,053.00
  5. Step 5: Solve for x
    x = 104,872,053.00/11,764.68
  6. Step 6: Final answer
    x = 8,914.14

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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.