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Finding the Fourth Proportional to 7,000.96, 9,661.32 and 3,857.14

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Solution

The fourth proportional to 7,000.96, 9,661.32 and 3,857.14 is: 5,322.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,000.96 : 9,661.32 = 3,857.14 : x
  2. Step 2: Convert to fraction form
    7,000.96/9,661.32 = 3,857.14/x
  3. Step 3: Cross multiply
    7,000.96x = 9,661.32 × 3,857.14
  4. Step 4: Simplify right side
    7,000.96x = 37,265,063.82
  5. Step 5: Solve for x
    x = 37,265,063.82/7,000.96
  6. Step 6: Final answer
    x = 5,322.85

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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.