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Finding the Fourth Proportional to 6,010.76, 9,016.49 and 1,628.57

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Solution

The fourth proportional to 6,010.76, 9,016.49 and 1,628.57 is: 2,442.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,010.76 : 9,016.49 = 1,628.57 : x
  2. Step 2: Convert to fraction form
    6,010.76/9,016.49 = 1,628.57/x
  3. Step 3: Cross multiply
    6,010.76x = 9,016.49 × 1,628.57
  4. Step 4: Simplify right side
    6,010.76x = 14,683,985.12
  5. Step 5: Solve for x
    x = 14,683,985.12/6,010.76
  6. Step 6: Final answer
    x = 2,442.95

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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.