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Finding the Fourth Proportional to 6,551.79, 9,827.15 and 2,167.80

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Solution

The fourth proportional to 6,551.79, 9,827.15 and 2,167.80 is: 3,251.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,551.79 : 9,827.15 = 2,167.80 : x
  2. Step 2: Convert to fraction form
    6,551.79/9,827.15 = 2,167.80/x
  3. Step 3: Cross multiply
    6,551.79x = 9,827.15 × 2,167.80
  4. Step 4: Simplify right side
    6,551.79x = 21,303,284.93
  5. Step 5: Solve for x
    x = 21,303,284.93/6,551.79
  6. Step 6: Final answer
    x = 3,251.52

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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.