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Finding the Fourth Proportional to 6,550.84, 9,827.16 and 2,168.74

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Solution

The fourth proportional to 6,550.84, 9,827.16 and 2,168.74 is: 3,253.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,550.84 : 9,827.16 = 2,168.74 : x
  2. Step 2: Convert to fraction form
    6,550.84/9,827.16 = 2,168.74/x
  3. Step 3: Cross multiply
    6,550.84x = 9,827.16 × 2,168.74
  4. Step 4: Simplify right side
    6,550.84x = 21,312,554.98
  5. Step 5: Solve for x
    x = 21,312,554.98/6,550.84
  6. Step 6: Final answer
    x = 3,253.41

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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.