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Finding the Fourth Proportional to 6,354.96, 9,520.56 and 5,668.62

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Solution

The fourth proportional to 6,354.96, 9,520.56 and 5,668.62 is: 8,492.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354.96 : 9,520.56 = 5,668.62 : x
  2. Step 2: Convert to fraction form
    6,354.96/9,520.56 = 5,668.62/x
  3. Step 3: Cross multiply
    6,354.96x = 9,520.56 × 5,668.62
  4. Step 4: Simplify right side
    6,354.96x = 53,968,436.83
  5. Step 5: Solve for x
    x = 53,968,436.83/6,354.96
  6. Step 6: Final answer
    x = 8,492.33

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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.