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Finding the Fourth Proportional to 5,226.30, 7,827.30 and 5,104.80

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Solution

The fourth proportional to 5,226.30, 7,827.30 and 5,104.80 is: 7,645.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,226.30 : 7,827.30 = 5,104.80 : x
  2. Step 2: Convert to fraction form
    5,226.30/7,827.30 = 5,104.80/x
  3. Step 3: Cross multiply
    5,226.30x = 7,827.30 × 5,104.80
  4. Step 4: Simplify right side
    5,226.30x = 39,956,801.04
  5. Step 5: Solve for x
    x = 39,956,801.04/5,226.30
  6. Step 6: Final answer
    x = 7,645.33

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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.