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Finding the Fourth Proportional to 8,506.14, 11,740.64 and 5,674.38

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Solution

The fourth proportional to 8,506.14, 11,740.64 and 5,674.38 is: 7,832.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,506.14 : 11,740.64 = 5,674.38 : x
  2. Step 2: Convert to fraction form
    8,506.14/11,740.64 = 5,674.38/x
  3. Step 3: Cross multiply
    8,506.14x = 11,740.64 × 5,674.38
  4. Step 4: Simplify right side
    8,506.14x = 66,620,852.80
  5. Step 5: Solve for x
    x = 66,620,852.80/8,506.14
  6. Step 6: Final answer
    x = 7,832.09

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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.