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Finding the Fourth Proportional to 6,510.36, 8,984.85 and 3,678.26

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Solution

The fourth proportional to 6,510.36, 8,984.85 and 3,678.26 is: 5,076.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,510.36 : 8,984.85 = 3,678.26 : x
  2. Step 2: Convert to fraction form
    6,510.36/8,984.85 = 3,678.26/x
  3. Step 3: Cross multiply
    6,510.36x = 8,984.85 × 3,678.26
  4. Step 4: Simplify right side
    6,510.36x = 33,048,589.86
  5. Step 5: Solve for x
    x = 33,048,589.86/6,510.36
  6. Step 6: Final answer
    x = 5,076.31

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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.