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Finding the Fourth Proportional to 6,550.20, 9,806.10 and 5,782.20

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Solution

The fourth proportional to 6,550.20, 9,806.10 and 5,782.20 is: 8,656.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,550.20 : 9,806.10 = 5,782.20 : x
  2. Step 2: Convert to fraction form
    6,550.20/9,806.10 = 5,782.20/x
  3. Step 3: Cross multiply
    6,550.20x = 9,806.10 × 5,782.20
  4. Step 4: Simplify right side
    6,550.20x = 56,700,831.42
  5. Step 5: Solve for x
    x = 56,700,831.42/6,550.20
  6. Step 6: Final answer
    x = 8,656.35

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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.