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Finding the Fourth Proportional to 6,837.24, 10,242.06 and 6,483

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Solution

The fourth proportional to 6,837.24, 10,242.06 and 6,483 is: 9,711.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,837.24 : 10,242.06 = 6,483 : x
  2. Step 2: Convert to fraction form
    6,837.24/10,242.06 = 6,483/x
  3. Step 3: Cross multiply
    6,837.24x = 10,242.06 × 6,483
  4. Step 4: Simplify right side
    6,837.24x = 66,399,274.98
  5. Step 5: Solve for x
    x = 66,399,274.98/6,837.24
  6. Step 6: Final answer
    x = 9,711.41

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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.