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Finding the Fourth Proportional to 8,002.63, 12,002.48 and 2,157.87

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Solution

The fourth proportional to 8,002.63, 12,002.48 and 2,157.87 is: 3,236.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.63 : 12,002.48 = 2,157.87 : x
  2. Step 2: Convert to fraction form
    8,002.63/12,002.48 = 2,157.87/x
  3. Step 3: Cross multiply
    8,002.63x = 12,002.48 × 2,157.87
  4. Step 4: Simplify right side
    8,002.63x = 25,899,731.51
  5. Step 5: Solve for x
    x = 25,899,731.51/8,002.63
  6. Step 6: Final answer
    x = 3,236.40

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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.