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Finding the Fourth Proportional to 7,112.28, 9,814.86 and 3,969

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Solution

The fourth proportional to 7,112.28, 9,814.86 and 3,969 is: 5,477.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,112.28 : 9,814.86 = 3,969 : x
  2. Step 2: Convert to fraction form
    7,112.28/9,814.86 = 3,969/x
  3. Step 3: Cross multiply
    7,112.28x = 9,814.86 × 3,969
  4. Step 4: Simplify right side
    7,112.28x = 38,955,179.34
  5. Step 5: Solve for x
    x = 38,955,179.34/7,112.28
  6. Step 6: Final answer
    x = 5,477.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.