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Finding the Fourth Proportional to 10,677.60, 16,016.40 and 6,991.20

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Solution

The fourth proportional to 10,677.60, 16,016.40 and 6,991.20 is: 10,486.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,677.60 : 16,016.40 = 6,991.20 : x
  2. Step 2: Convert to fraction form
    10,677.60/16,016.40 = 6,991.20/x
  3. Step 3: Cross multiply
    10,677.60x = 16,016.40 × 6,991.20
  4. Step 4: Simplify right side
    10,677.60x = 111,973,855.68
  5. Step 5: Solve for x
    x = 111,973,855.68/10,677.60
  6. Step 6: Final answer
    x = 10,486.80

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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.