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Finding the Fourth Proportional to 9,074.94, 12,523.08 and 5,096.28

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Solution

The fourth proportional to 9,074.94, 12,523.08 and 5,096.28 is: 7,032.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,074.94 : 12,523.08 = 5,096.28 : x
  2. Step 2: Convert to fraction form
    9,074.94/12,523.08 = 5,096.28/x
  3. Step 3: Cross multiply
    9,074.94x = 12,523.08 × 5,096.28
  4. Step 4: Simplify right side
    9,074.94x = 63,821,122.14
  5. Step 5: Solve for x
    x = 63,821,122.14/9,074.94
  6. Step 6: Final answer
    x = 7,032.68

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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.