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Finding the Fourth Proportional to 6,157, 9,235.50 and 2,460.88

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Solution

The fourth proportional to 6,157, 9,235.50 and 2,460.88 is: 3,691.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,157 : 9,235.50 = 2,460.88 : x
  2. Step 2: Convert to fraction form
    6,157/9,235.50 = 2,460.88/x
  3. Step 3: Cross multiply
    6,157x = 9,235.50 × 2,460.88
  4. Step 4: Simplify right side
    6,157x = 22,727,457.24
  5. Step 5: Solve for x
    x = 22,727,457.24/6,157
  6. Step 6: Final answer
    x = 3,691.32

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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.