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Finding the Fourth Proportional to 10,363.12, 14,277 and 7,213.84

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Solution

The fourth proportional to 10,363.12, 14,277 and 7,213.84 is: 9,938.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,363.12 : 14,277 = 7,213.84 : x
  2. Step 2: Convert to fraction form
    10,363.12/14,277 = 7,213.84/x
  3. Step 3: Cross multiply
    10,363.12x = 14,277 × 7,213.84
  4. Step 4: Simplify right side
    10,363.12x = 102,991,993.68
  5. Step 5: Solve for x
    x = 102,991,993.68/10,363.12
  6. Step 6: Final answer
    x = 9,938.32

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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.