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Finding the Fourth Proportional to 8,527.75, 12,796.07 and 6,447.14

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Solution

The fourth proportional to 8,527.75, 12,796.07 and 6,447.14 is: 9,674.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,527.75 : 12,796.07 = 6,447.14 : x
  2. Step 2: Convert to fraction form
    8,527.75/12,796.07 = 6,447.14/x
  3. Step 3: Cross multiply
    8,527.75x = 12,796.07 × 6,447.14
  4. Step 4: Simplify right side
    8,527.75x = 82,498,030.69
  5. Step 5: Solve for x
    x = 82,498,030.69/8,527.75
  6. Step 6: Final answer
    x = 9,674.07

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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.