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Finding the Fourth Proportional to 6,709.64, 9,262.63 and 4,193.14

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Solution

The fourth proportional to 6,709.64, 9,262.63 and 4,193.14 is: 5,788.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709.64 : 9,262.63 = 4,193.14 : x
  2. Step 2: Convert to fraction form
    6,709.64/9,262.63 = 4,193.14/x
  3. Step 3: Cross multiply
    6,709.64x = 9,262.63 × 4,193.14
  4. Step 4: Simplify right side
    6,709.64x = 38,839,504.36
  5. Step 5: Solve for x
    x = 38,839,504.36/6,709.64
  6. Step 6: Final answer
    x = 5,788.61

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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.