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Finding the Fourth Proportional to 10,998.70, 16,459.12 and 6,840.68

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Solution

The fourth proportional to 10,998.70, 16,459.12 and 6,840.68 is: 10,236.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,998.70 : 16,459.12 = 6,840.68 : x
  2. Step 2: Convert to fraction form
    10,998.70/16,459.12 = 6,840.68/x
  3. Step 3: Cross multiply
    10,998.70x = 16,459.12 × 6,840.68
  4. Step 4: Simplify right side
    10,998.70x = 112,591,573.00
  5. Step 5: Solve for x
    x = 112,591,573.00/10,998.70
  6. Step 6: Final answer
    x = 10,236.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.