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Finding the Fourth Proportional to 8,003.60, 12,007.20 and 2,457.20

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Solution

The fourth proportional to 8,003.60, 12,007.20 and 2,457.20 is: 3,686.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,003.60 : 12,007.20 = 2,457.20 : x
  2. Step 2: Convert to fraction form
    8,003.60/12,007.20 = 2,457.20/x
  3. Step 3: Cross multiply
    8,003.60x = 12,007.20 × 2,457.20
  4. Step 4: Simplify right side
    8,003.60x = 29,504,091.84
  5. Step 5: Solve for x
    x = 29,504,091.84/8,003.60
  6. Step 6: Final answer
    x = 3,686.35

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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.