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Finding the Fourth Proportional to 11,797.48, 16,282.02 and 7,081.48

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Solution

The fourth proportional to 11,797.48, 16,282.02 and 7,081.48 is: 9,773.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,797.48 : 16,282.02 = 7,081.48 : x
  2. Step 2: Convert to fraction form
    11,797.48/16,282.02 = 7,081.48/x
  3. Step 3: Cross multiply
    11,797.48x = 16,282.02 × 7,081.48
  4. Step 4: Simplify right side
    11,797.48x = 115,300,798.99
  5. Step 5: Solve for x
    x = 115,300,798.99/11,797.48
  6. Step 6: Final answer
    x = 9,773.34

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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.