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Finding the Fourth Proportional to 8,509.06, 11,739.97 and 6,735.16

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Solution

The fourth proportional to 8,509.06, 11,739.97 and 6,735.16 is: 9,292.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.06 : 11,739.97 = 6,735.16 : x
  2. Step 2: Convert to fraction form
    8,509.06/11,739.97 = 6,735.16/x
  3. Step 3: Cross multiply
    8,509.06x = 11,739.97 × 6,735.16
  4. Step 4: Simplify right side
    8,509.06x = 79,070,576.35
  5. Step 5: Solve for x
    x = 79,070,576.35/8,509.06
  6. Step 6: Final answer
    x = 9,292.52

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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.