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Finding the Fourth Proportional to 9,606.84, 13,259.50 and 6,067.80

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Solution

The fourth proportional to 9,606.84, 13,259.50 and 6,067.80 is: 8,374.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,606.84 : 13,259.50 = 6,067.80 : x
  2. Step 2: Convert to fraction form
    9,606.84/13,259.50 = 6,067.80/x
  3. Step 3: Cross multiply
    9,606.84x = 13,259.50 × 6,067.80
  4. Step 4: Simplify right side
    9,606.84x = 80,455,994.10
  5. Step 5: Solve for x
    x = 80,455,994.10/9,606.84
  6. Step 6: Final answer
    x = 8,374.87

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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.