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Finding the Fourth Proportional to 8,133.24, 12,203.70 and 8,002.20

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Solution

The fourth proportional to 8,133.24, 12,203.70 and 8,002.20 is: 12,007.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,133.24 : 12,203.70 = 8,002.20 : x
  2. Step 2: Convert to fraction form
    8,133.24/12,203.70 = 8,002.20/x
  3. Step 3: Cross multiply
    8,133.24x = 12,203.70 × 8,002.20
  4. Step 4: Simplify right side
    8,133.24x = 97,656,448.14
  5. Step 5: Solve for x
    x = 97,656,448.14/8,133.24
  6. Step 6: Final answer
    x = 12,007.08

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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.