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Finding the Fourth Proportional to 6,808.34, 9,394.49 and 3,823.59

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Solution

The fourth proportional to 6,808.34, 9,394.49 and 3,823.59 is: 5,275.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,808.34 : 9,394.49 = 3,823.59 : x
  2. Step 2: Convert to fraction form
    6,808.34/9,394.49 = 3,823.59/x
  3. Step 3: Cross multiply
    6,808.34x = 9,394.49 × 3,823.59
  4. Step 4: Simplify right side
    6,808.34x = 35,920,722.81
  5. Step 5: Solve for x
    x = 35,920,722.81/6,808.34
  6. Step 6: Final answer
    x = 5,275.99

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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.