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Finding the Fourth Proportional to 6,394.28, 9,584.53 and 2,886.17

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Solution

The fourth proportional to 6,394.28, 9,584.53 and 2,886.17 is: 4,326.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,394.28 : 9,584.53 = 2,886.17 : x
  2. Step 2: Convert to fraction form
    6,394.28/9,584.53 = 2,886.17/x
  3. Step 3: Cross multiply
    6,394.28x = 9,584.53 × 2,886.17
  4. Step 4: Simplify right side
    6,394.28x = 27,662,527.81
  5. Step 5: Solve for x
    x = 27,662,527.81/6,394.28
  6. Step 6: Final answer
    x = 4,326.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.