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Finding the Fourth Proportional to 8,228.50, 12,342.75 and 2,072.50

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Solution

The fourth proportional to 8,228.50, 12,342.75 and 2,072.50 is: 3,108.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,228.50 : 12,342.75 = 2,072.50 : x
  2. Step 2: Convert to fraction form
    8,228.50/12,342.75 = 2,072.50/x
  3. Step 3: Cross multiply
    8,228.50x = 12,342.75 × 2,072.50
  4. Step 4: Simplify right side
    8,228.50x = 25,580,349.38
  5. Step 5: Solve for x
    x = 25,580,349.38/8,228.50
  6. Step 6: Final answer
    x = 3,108.75

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Double scale
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1.5x scale

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.