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Finding the Fourth Proportional to 6,508.92, 9,763.08 and 1,765.26

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Solution

The fourth proportional to 6,508.92, 9,763.08 and 1,765.26 is: 2,647.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508.92 : 9,763.08 = 1,765.26 : x
  2. Step 2: Convert to fraction form
    6,508.92/9,763.08 = 1,765.26/x
  3. Step 3: Cross multiply
    6,508.92x = 9,763.08 × 1,765.26
  4. Step 4: Simplify right side
    6,508.92x = 17,234,374.60
  5. Step 5: Solve for x
    x = 17,234,374.60/6,508.92
  6. Step 6: Final answer
    x = 2,647.81

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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.