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Finding the Fourth Proportional to 7,927.49, 11,892.14 and 2,084.21

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Solution

The fourth proportional to 7,927.49, 11,892.14 and 2,084.21 is: 3,126.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,927.49 : 11,892.14 = 2,084.21 : x
  2. Step 2: Convert to fraction form
    7,927.49/11,892.14 = 2,084.21/x
  3. Step 3: Cross multiply
    7,927.49x = 11,892.14 × 2,084.21
  4. Step 4: Simplify right side
    7,927.49x = 24,785,717.11
  5. Step 5: Solve for x
    x = 24,785,717.11/7,927.49
  6. Step 6: Final answer
    x = 3,126.55

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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.