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Finding the Fourth Proportional to 9,979.54, 14,969.21 and 3,823.54

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Solution

The fourth proportional to 9,979.54, 14,969.21 and 3,823.54 is: 5,735.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,979.54 : 14,969.21 = 3,823.54 : x
  2. Step 2: Convert to fraction form
    9,979.54/14,969.21 = 3,823.54/x
  3. Step 3: Cross multiply
    9,979.54x = 14,969.21 × 3,823.54
  4. Step 4: Simplify right side
    9,979.54x = 57,235,279.24
  5. Step 5: Solve for x
    x = 57,235,279.24/9,979.54
  6. Step 6: Final answer
    x = 5,735.27

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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.