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Finding the Fourth Proportional to 8,001.60, 12,007.80 and 3,616.80

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Solution

The fourth proportional to 8,001.60, 12,007.80 and 3,616.80 is: 5,427.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,001.60 : 12,007.80 = 3,616.80 : x
  2. Step 2: Convert to fraction form
    8,001.60/12,007.80 = 3,616.80/x
  3. Step 3: Cross multiply
    8,001.60x = 12,007.80 × 3,616.80
  4. Step 4: Simplify right side
    8,001.60x = 43,429,811.04
  5. Step 5: Solve for x
    x = 43,429,811.04/8,001.60
  6. Step 6: Final answer
    x = 5,427.64

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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.