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Finding the Fourth Proportional to 6,809.13, 10,199.93 and 6,242.13

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Solution

The fourth proportional to 6,809.13, 10,199.93 and 6,242.13 is: 9,350.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.13 : 10,199.93 = 6,242.13 : x
  2. Step 2: Convert to fraction form
    6,809.13/10,199.93 = 6,242.13/x
  3. Step 3: Cross multiply
    6,809.13x = 10,199.93 × 6,242.13
  4. Step 4: Simplify right side
    6,809.13x = 63,669,257.84
  5. Step 5: Solve for x
    x = 63,669,257.84/6,809.13
  6. Step 6: Final answer
    x = 9,350.57

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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.