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Finding the Fourth Proportional to 9,074.92, 12,523.18 and 5,096.20

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Solution

The fourth proportional to 9,074.92, 12,523.18 and 5,096.20 is: 7,032.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,074.92 : 12,523.18 = 5,096.20 : x
  2. Step 2: Convert to fraction form
    9,074.92/12,523.18 = 5,096.20/x
  3. Step 3: Cross multiply
    9,074.92x = 12,523.18 × 5,096.20
  4. Step 4: Simplify right side
    9,074.92x = 63,820,629.92
  5. Step 5: Solve for x
    x = 63,820,629.92/9,074.92
  6. Step 6: Final answer
    x = 7,032.64

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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.