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Finding the Fourth Proportional to 8,524.14, 11,762.97 and 4,747.16

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Solution

The fourth proportional to 8,524.14, 11,762.97 and 4,747.16 is: 6,550.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,524.14 : 11,762.97 = 4,747.16 : x
  2. Step 2: Convert to fraction form
    8,524.14/11,762.97 = 4,747.16/x
  3. Step 3: Cross multiply
    8,524.14x = 11,762.97 × 4,747.16
  4. Step 4: Simplify right side
    8,524.14x = 55,840,672.81
  5. Step 5: Solve for x
    x = 55,840,672.81/8,524.14
  6. Step 6: Final answer
    x = 6,550.89

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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.