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Finding the Fourth Proportional to 6,154, 9,230.96 and 1,537

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Solution

The fourth proportional to 6,154, 9,230.96 and 1,537 is: 2,305.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154 : 9,230.96 = 1,537 : x
  2. Step 2: Convert to fraction form
    6,154/9,230.96 = 1,537/x
  3. Step 3: Cross multiply
    6,154x = 9,230.96 × 1,537
  4. Step 4: Simplify right side
    6,154x = 14,187,985.52
  5. Step 5: Solve for x
    x = 14,187,985.52/6,154
  6. Step 6: Final answer
    x = 2,305.49

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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.