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Finding the Fourth Proportional to 6,904.28, 9,527.76 and 3,760.40

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Solution

The fourth proportional to 6,904.28, 9,527.76 and 3,760.40 is: 5,189.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,904.28 : 9,527.76 = 3,760.40 : x
  2. Step 2: Convert to fraction form
    6,904.28/9,527.76 = 3,760.40/x
  3. Step 3: Cross multiply
    6,904.28x = 9,527.76 × 3,760.40
  4. Step 4: Simplify right side
    6,904.28x = 35,828,188.70
  5. Step 5: Solve for x
    x = 35,828,188.70/6,904.28
  6. Step 6: Final answer
    x = 5,189.27

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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.