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Finding the Fourth Proportional to 8,006.40, 12,009.60 and 4,544.64

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Solution

The fourth proportional to 8,006.40, 12,009.60 and 4,544.64 is: 6,816.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,006.40 : 12,009.60 = 4,544.64 : x
  2. Step 2: Convert to fraction form
    8,006.40/12,009.60 = 4,544.64/x
  3. Step 3: Cross multiply
    8,006.40x = 12,009.60 × 4,544.64
  4. Step 4: Simplify right side
    8,006.40x = 54,579,308.54
  5. Step 5: Solve for x
    x = 54,579,308.54/8,006.40
  6. Step 6: Final answer
    x = 6,816.96

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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.