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Finding the Fourth Proportional to 7,998.27, 12,004.53 and 7,968.50

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Solution

The fourth proportional to 7,998.27, 12,004.53 and 7,968.50 is: 11,959.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,998.27 : 12,004.53 = 7,968.50 : x
  2. Step 2: Convert to fraction form
    7,998.27/12,004.53 = 7,968.50/x
  3. Step 3: Cross multiply
    7,998.27x = 12,004.53 × 7,968.50
  4. Step 4: Simplify right side
    7,998.27x = 95,658,097.31
  5. Step 5: Solve for x
    x = 95,658,097.31/7,998.27
  6. Step 6: Final answer
    x = 11,959.85

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Half scale
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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.