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Finding the Fourth Proportional to 7,146.37, 10,736.03 and 6,851.13

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Solution

The fourth proportional to 7,146.37, 10,736.03 and 6,851.13 is: 10,292.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.37 : 10,736.03 = 6,851.13 : x
  2. Step 2: Convert to fraction form
    7,146.37/10,736.03 = 6,851.13/x
  3. Step 3: Cross multiply
    7,146.37x = 10,736.03 × 6,851.13
  4. Step 4: Simplify right side
    7,146.37x = 73,553,937.21
  5. Step 5: Solve for x
    x = 73,553,937.21/7,146.37
  6. Step 6: Final answer
    x = 10,292.49

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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.