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Finding the Fourth Proportional to 6,104.32, 9,156.41 and 1,487.32

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Solution

The fourth proportional to 6,104.32, 9,156.41 and 1,487.32 is: 2,230.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,104.32 : 9,156.41 = 1,487.32 : x
  2. Step 2: Convert to fraction form
    6,104.32/9,156.41 = 1,487.32/x
  3. Step 3: Cross multiply
    6,104.32x = 9,156.41 × 1,487.32
  4. Step 4: Simplify right side
    6,104.32x = 13,618,458.50
  5. Step 5: Solve for x
    x = 13,618,458.50/6,104.32
  6. Step 6: Final answer
    x = 2,230.96

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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.