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Finding the Fourth Proportional to 6,805.84, 10,187.54 and 5,241.80

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Solution

The fourth proportional to 6,805.84, 10,187.54 and 5,241.80 is: 7,846.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.84 : 10,187.54 = 5,241.80 : x
  2. Step 2: Convert to fraction form
    6,805.84/10,187.54 = 5,241.80/x
  3. Step 3: Cross multiply
    6,805.84x = 10,187.54 × 5,241.80
  4. Step 4: Simplify right side
    6,805.84x = 53,401,047.17
  5. Step 5: Solve for x
    x = 53,401,047.17/6,805.84
  6. Step 6: Final answer
    x = 7,846.36

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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.