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Finding the Fourth Proportional to 9,491.84, 14,218.62 and 7,947.27

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Solution

The fourth proportional to 9,491.84, 14,218.62 and 7,947.27 is: 11,904.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491.84 : 14,218.62 = 7,947.27 : x
  2. Step 2: Convert to fraction form
    9,491.84/14,218.62 = 7,947.27/x
  3. Step 3: Cross multiply
    9,491.84x = 14,218.62 × 7,947.27
  4. Step 4: Simplify right side
    9,491.84x = 112,999,212.17
  5. Step 5: Solve for x
    x = 112,999,212.17/9,491.84
  6. Step 6: Final answer
    x = 11,904.88

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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.