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Finding the Fourth Proportional to 8,413, 11,609.94 and 4,687.88

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Solution

The fourth proportional to 8,413, 11,609.94 and 4,687.88 is: 6,469.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,413 : 11,609.94 = 4,687.88 : x
  2. Step 2: Convert to fraction form
    8,413/11,609.94 = 4,687.88/x
  3. Step 3: Cross multiply
    8,413x = 11,609.94 × 4,687.88
  4. Step 4: Simplify right side
    8,413x = 54,426,005.53
  5. Step 5: Solve for x
    x = 54,426,005.53/8,413
  6. Step 6: Final answer
    x = 6,469.27

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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.