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Finding the Fourth Proportional to 11,773.54, 16,250.32 and 6,740.68

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Solution

The fourth proportional to 11,773.54, 16,250.32 and 6,740.68 is: 9,303.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,773.54 : 16,250.32 = 6,740.68 : x
  2. Step 2: Convert to fraction form
    11,773.54/16,250.32 = 6,740.68/x
  3. Step 3: Cross multiply
    11,773.54x = 16,250.32 × 6,740.68
  4. Step 4: Simplify right side
    11,773.54x = 109,538,207.02
  5. Step 5: Solve for x
    x = 109,538,207.02/11,773.54
  6. Step 6: Final answer
    x = 9,303.76

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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.