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Finding the Fourth Proportional to 6,857.03, 9,462.69 and 3,713.21

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Solution

The fourth proportional to 6,857.03, 9,462.69 and 3,713.21 is: 5,124.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.03 : 9,462.69 = 3,713.21 : x
  2. Step 2: Convert to fraction form
    6,857.03/9,462.69 = 3,713.21/x
  3. Step 3: Cross multiply
    6,857.03x = 9,462.69 × 3,713.21
  4. Step 4: Simplify right side
    6,857.03x = 35,136,955.13
  5. Step 5: Solve for x
    x = 35,136,955.13/6,857.03
  6. Step 6: Final answer
    x = 5,124.23

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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.