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Finding the Fourth Proportional to 6,508.26, 9,762.81 and 2,612.16

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Solution

The fourth proportional to 6,508.26, 9,762.81 and 2,612.16 is: 3,918.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508.26 : 9,762.81 = 2,612.16 : x
  2. Step 2: Convert to fraction form
    6,508.26/9,762.81 = 2,612.16/x
  3. Step 3: Cross multiply
    6,508.26x = 9,762.81 × 2,612.16
  4. Step 4: Simplify right side
    6,508.26x = 25,502,021.77
  5. Step 5: Solve for x
    x = 25,502,021.77/6,508.26
  6. Step 6: Final answer
    x = 3,918.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.