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Finding the Fourth Proportional to 6,509.26, 8,982.74 and 3,525.03

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Solution

The fourth proportional to 6,509.26, 8,982.74 and 3,525.03 is: 4,864.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.26 : 8,982.74 = 3,525.03 : x
  2. Step 2: Convert to fraction form
    6,509.26/8,982.74 = 3,525.03/x
  3. Step 3: Cross multiply
    6,509.26x = 8,982.74 × 3,525.03
  4. Step 4: Simplify right side
    6,509.26x = 31,664,426.88
  5. Step 5: Solve for x
    x = 31,664,426.88/6,509.26
  6. Step 6: Final answer
    x = 4,864.52

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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.