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Finding the Fourth Proportional to 9,182.99, 12,673.07 and 5,150.16

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Solution

The fourth proportional to 9,182.99, 12,673.07 and 5,150.16 is: 7,107.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,182.99 : 12,673.07 = 5,150.16 : x
  2. Step 2: Convert to fraction form
    9,182.99/12,673.07 = 5,150.16/x
  3. Step 3: Cross multiply
    9,182.99x = 12,673.07 × 5,150.16
  4. Step 4: Simplify right side
    9,182.99x = 65,268,338.19
  5. Step 5: Solve for x
    x = 65,268,338.19/9,182.99
  6. Step 6: Final answer
    x = 7,107.53

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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.