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Finding the Fourth Proportional to 6,844.72, 9,384.13 and 6,720.16

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Solution

The fourth proportional to 6,844.72, 9,384.13 and 6,720.16 is: 9,213.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,844.72 : 9,384.13 = 6,720.16 : x
  2. Step 2: Convert to fraction form
    6,844.72/9,384.13 = 6,720.16/x
  3. Step 3: Cross multiply
    6,844.72x = 9,384.13 × 6,720.16
  4. Step 4: Simplify right side
    6,844.72x = 63,062,855.06
  5. Step 5: Solve for x
    x = 63,062,855.06/6,844.72
  6. Step 6: Final answer
    x = 9,213.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.