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Finding the Fourth Proportional to 12,000.24, 17,985.24 and 6,809.04

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Solution

The fourth proportional to 12,000.24, 17,985.24 and 6,809.04 is: 10,204.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,000.24 : 17,985.24 = 6,809.04 : x
  2. Step 2: Convert to fraction form
    12,000.24/17,985.24 = 6,809.04/x
  3. Step 3: Cross multiply
    12,000.24x = 17,985.24 × 6,809.04
  4. Step 4: Simplify right side
    12,000.24x = 122,462,218.57
  5. Step 5: Solve for x
    x = 122,462,218.57/12,000.24
  6. Step 6: Final answer
    x = 10,204.98

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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.