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Finding the Fourth Proportional to 6,886.36, 9,503.75 and 4,234.42

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Solution

The fourth proportional to 6,886.36, 9,503.75 and 4,234.42 is: 5,843.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,886.36 : 9,503.75 = 4,234.42 : x
  2. Step 2: Convert to fraction form
    6,886.36/9,503.75 = 4,234.42/x
  3. Step 3: Cross multiply
    6,886.36x = 9,503.75 × 4,234.42
  4. Step 4: Simplify right side
    6,886.36x = 40,242,869.08
  5. Step 5: Solve for x
    x = 40,242,869.08/6,886.36
  6. Step 6: Final answer
    x = 5,843.85

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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.