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Finding the Fourth Proportional to 6,509.00, 8,982.42 and 3,524.84

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Solution

The fourth proportional to 6,509.00, 8,982.42 and 3,524.84 is: 4,864.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.00 : 8,982.42 = 3,524.84 : x
  2. Step 2: Convert to fraction form
    6,509.00/8,982.42 = 3,524.84/x
  3. Step 3: Cross multiply
    6,509.00x = 8,982.42 × 3,524.84
  4. Step 4: Simplify right side
    6,509.00x = 31,661,568.87
  5. Step 5: Solve for x
    x = 31,661,568.87/6,509.00
  6. Step 6: Final answer
    x = 4,864.28

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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.