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Finding the Fourth Proportional to 6,904.19, 9,527.81 and 3,920.09

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Solution

The fourth proportional to 6,904.19, 9,527.81 and 3,920.09 is: 5,409.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,904.19 : 9,527.81 = 3,920.09 : x
  2. Step 2: Convert to fraction form
    6,904.19/9,527.81 = 3,920.09/x
  3. Step 3: Cross multiply
    6,904.19x = 9,527.81 × 3,920.09
  4. Step 4: Simplify right side
    6,904.19x = 37,349,805.46
  5. Step 5: Solve for x
    x = 37,349,805.46/6,904.19
  6. Step 6: Final answer
    x = 5,409.73

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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.