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Finding the Fourth Proportional to 7,234.64, 10,854.04 and 2,305.04

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Solution

The fourth proportional to 7,234.64, 10,854.04 and 2,305.04 is: 3,458.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.64 : 10,854.04 = 2,305.04 : x
  2. Step 2: Convert to fraction form
    7,234.64/10,854.04 = 2,305.04/x
  3. Step 3: Cross multiply
    7,234.64x = 10,854.04 × 2,305.04
  4. Step 4: Simplify right side
    7,234.64x = 25,018,996.36
  5. Step 5: Solve for x
    x = 25,018,996.36/7,234.64
  6. Step 6: Final answer
    x = 3,458.22

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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.