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Finding the Fourth Proportional to 10,805.99, 14,912.42 and 6,090.26

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Solution

The fourth proportional to 10,805.99, 14,912.42 and 6,090.26 is: 8,404.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805.99 : 14,912.42 = 6,090.26 : x
  2. Step 2: Convert to fraction form
    10,805.99/14,912.42 = 6,090.26/x
  3. Step 3: Cross multiply
    10,805.99x = 14,912.42 × 6,090.26
  4. Step 4: Simplify right side
    10,805.99x = 90,820,410.02
  5. Step 5: Solve for x
    x = 90,820,410.02/10,805.99
  6. Step 6: Final answer
    x = 8,404.64

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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.