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Finding the Fourth Proportional to 6,550.40, 9,827.04 and 3,259.28

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Solution

The fourth proportional to 6,550.40, 9,827.04 and 3,259.28 is: 4,889.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,550.40 : 9,827.04 = 3,259.28 : x
  2. Step 2: Convert to fraction form
    6,550.40/9,827.04 = 3,259.28/x
  3. Step 3: Cross multiply
    6,550.40x = 9,827.04 × 3,259.28
  4. Step 4: Simplify right side
    6,550.40x = 32,029,074.93
  5. Step 5: Solve for x
    x = 32,029,074.93/6,550.40
  6. Step 6: Final answer
    x = 4,889.64

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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.