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Finding the Fourth Proportional to 6,904.14, 9,527.64 and 3,760.26

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Solution

The fourth proportional to 6,904.14, 9,527.64 and 3,760.26 is: 5,189.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,904.14 : 9,527.64 = 3,760.26 : x
  2. Step 2: Convert to fraction form
    6,904.14/9,527.64 = 3,760.26/x
  3. Step 3: Cross multiply
    6,904.14x = 9,527.64 × 3,760.26
  4. Step 4: Simplify right side
    6,904.14x = 35,826,403.59
  5. Step 5: Solve for x
    x = 35,826,403.59/6,904.14
  6. Step 6: Final answer
    x = 5,189.12

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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.