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Finding the Fourth Proportional to 9,822.29, 14,722.83 and 7,147.44

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Solution

The fourth proportional to 9,822.29, 14,722.83 and 7,147.44 is: 10,713.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,822.29 : 14,722.83 = 7,147.44 : x
  2. Step 2: Convert to fraction form
    9,822.29/14,722.83 = 7,147.44/x
  3. Step 3: Cross multiply
    9,822.29x = 14,722.83 × 7,147.44
  4. Step 4: Simplify right side
    9,822.29x = 105,230,544.06
  5. Step 5: Solve for x
    x = 105,230,544.06/9,822.29
  6. Step 6: Final answer
    x = 10,713.45

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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.