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Finding the Fourth Proportional to 10,084.50, 15,126.75 and 3,159

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Solution

The fourth proportional to 10,084.50, 15,126.75 and 3,159 is: 4,738.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,084.50 : 15,126.75 = 3,159 : x
  2. Step 2: Convert to fraction form
    10,084.50/15,126.75 = 3,159/x
  3. Step 3: Cross multiply
    10,084.50x = 15,126.75 × 3,159
  4. Step 4: Simplify right side
    10,084.50x = 47,785,403.25
  5. Step 5: Solve for x
    x = 47,785,403.25/10,084.50
  6. Step 6: Final answer
    x = 4,738.50

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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.