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Finding the Fourth Proportional to 10,697.82, 14,762.99 and 5,982.11

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Solution

The fourth proportional to 10,697.82, 14,762.99 and 5,982.11 is: 8,255.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,697.82 : 14,762.99 = 5,982.11 : x
  2. Step 2: Convert to fraction form
    10,697.82/14,762.99 = 5,982.11/x
  3. Step 3: Cross multiply
    10,697.82x = 14,762.99 × 5,982.11
  4. Step 4: Simplify right side
    10,697.82x = 88,313,881.97
  5. Step 5: Solve for x
    x = 88,313,881.97/10,697.82
  6. Step 6: Final answer
    x = 8,255.32

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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.