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Finding the Fourth Proportional to 8,314.75, 11,473.98 and 4,537.75

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Solution

The fourth proportional to 8,314.75, 11,473.98 and 4,537.75 is: 6,261.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.75 : 11,473.98 = 4,537.75 : x
  2. Step 2: Convert to fraction form
    8,314.75/11,473.98 = 4,537.75/x
  3. Step 3: Cross multiply
    8,314.75x = 11,473.98 × 4,537.75
  4. Step 4: Simplify right side
    8,314.75x = 52,066,052.75
  5. Step 5: Solve for x
    x = 52,066,052.75/8,314.75
  6. Step 6: Final answer
    x = 6,261.89

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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.