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Finding the Fourth Proportional to 7,119.42, 9,824.87 and 4,134.16

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Solution

The fourth proportional to 7,119.42, 9,824.87 and 4,134.16 is: 5,705.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,119.42 : 9,824.87 = 4,134.16 : x
  2. Step 2: Convert to fraction form
    7,119.42/9,824.87 = 4,134.16/x
  3. Step 3: Cross multiply
    7,119.42x = 9,824.87 × 4,134.16
  4. Step 4: Simplify right side
    7,119.42x = 40,617,584.56
  5. Step 5: Solve for x
    x = 40,617,584.56/7,119.42
  6. Step 6: Final answer
    x = 5,705.18

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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.