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Finding the Fourth Proportional to 10,094.64, 15,141.72 and 3,074.64

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Solution

The fourth proportional to 10,094.64, 15,141.72 and 3,074.64 is: 4,611.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,094.64 : 15,141.72 = 3,074.64 : x
  2. Step 2: Convert to fraction form
    10,094.64/15,141.72 = 3,074.64/x
  3. Step 3: Cross multiply
    10,094.64x = 15,141.72 × 3,074.64
  4. Step 4: Simplify right side
    10,094.64x = 46,555,337.98
  5. Step 5: Solve for x
    x = 46,555,337.98/10,094.64
  6. Step 6: Final answer
    x = 4,611.89

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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.