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Finding the Fourth Proportional to 10,305.67, 14,216.74 and 6,944.17

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Solution

The fourth proportional to 10,305.67, 14,216.74 and 6,944.17 is: 9,579.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,305.67 : 14,216.74 = 6,944.17 : x
  2. Step 2: Convert to fraction form
    10,305.67/14,216.74 = 6,944.17/x
  3. Step 3: Cross multiply
    10,305.67x = 14,216.74 × 6,944.17
  4. Step 4: Simplify right side
    10,305.67x = 98,723,459.41
  5. Step 5: Solve for x
    x = 98,723,459.41/10,305.67
  6. Step 6: Final answer
    x = 9,579.53

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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.