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Finding the Fourth Proportional to 11,932.68, 16,465.14 and 7,457.16

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Solution

The fourth proportional to 11,932.68, 16,465.14 and 7,457.16 is: 10,289.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,932.68 : 16,465.14 = 7,457.16 : x
  2. Step 2: Convert to fraction form
    11,932.68/16,465.14 = 7,457.16/x
  3. Step 3: Cross multiply
    11,932.68x = 16,465.14 × 7,457.16
  4. Step 4: Simplify right side
    11,932.68x = 122,783,183.40
  5. Step 5: Solve for x
    x = 122,783,183.40/11,932.68
  6. Step 6: Final answer
    x = 10,289.66

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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.