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Finding the Fourth Proportional to 9,542.99, 13,169.84 and 5,766.11

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Solution

The fourth proportional to 9,542.99, 13,169.84 and 5,766.11 is: 7,957.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,542.99 : 13,169.84 = 5,766.11 : x
  2. Step 2: Convert to fraction form
    9,542.99/13,169.84 = 5,766.11/x
  3. Step 3: Cross multiply
    9,542.99x = 13,169.84 × 5,766.11
  4. Step 4: Simplify right side
    9,542.99x = 75,938,746.12
  5. Step 5: Solve for x
    x = 75,938,746.12/9,542.99
  6. Step 6: Final answer
    x = 7,957.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.