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Finding the Fourth Proportional to 9,765.81, 13,474.49 and 5,786.24

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Solution

The fourth proportional to 9,765.81, 13,474.49 and 5,786.24 is: 7,983.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.81 : 13,474.49 = 5,786.24 : x
  2. Step 2: Convert to fraction form
    9,765.81/13,474.49 = 5,786.24/x
  3. Step 3: Cross multiply
    9,765.81x = 13,474.49 × 5,786.24
  4. Step 4: Simplify right side
    9,765.81x = 77,966,536.71
  5. Step 5: Solve for x
    x = 77,966,536.71/9,765.81
  6. Step 6: Final answer
    x = 7,983.62

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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.