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Finding the Fourth Proportional to 6,387, 9,580.50 and 1,770

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Solution

The fourth proportional to 6,387, 9,580.50 and 1,770 is: 2,655

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,387 : 9,580.50 = 1,770 : x
  2. Step 2: Convert to fraction form
    6,387/9,580.50 = 1,770/x
  3. Step 3: Cross multiply
    6,387x = 9,580.50 × 1,770
  4. Step 4: Simplify right side
    6,387x = 16,957,485
  5. Step 5: Solve for x
    x = 16,957,485/6,387
  6. Step 6: Final answer
    x = 2,655

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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.