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Finding the Fourth Proportional to 7,892.56, 11,834.52 and 2,344.24

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Solution

The fourth proportional to 7,892.56, 11,834.52 and 2,344.24 is: 3,515.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,892.56 : 11,834.52 = 2,344.24 : x
  2. Step 2: Convert to fraction form
    7,892.56/11,834.52 = 2,344.24/x
  3. Step 3: Cross multiply
    7,892.56x = 11,834.52 × 2,344.24
  4. Step 4: Simplify right side
    7,892.56x = 27,742,955.16
  5. Step 5: Solve for x
    x = 27,742,955.16/7,892.56
  6. Step 6: Final answer
    x = 3,515.08

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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.