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Finding the Fourth Proportional to 8,000.03, 12,000.34 and 3,070.16

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Solution

The fourth proportional to 8,000.03, 12,000.34 and 3,070.16 is: 4,605.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,000.03 : 12,000.34 = 3,070.16 : x
  2. Step 2: Convert to fraction form
    8,000.03/12,000.34 = 3,070.16/x
  3. Step 3: Cross multiply
    8,000.03x = 12,000.34 × 3,070.16
  4. Step 4: Simplify right side
    8,000.03x = 36,842,997.69
  5. Step 5: Solve for x
    x = 36,842,997.69/8,000.03
  6. Step 6: Final answer
    x = 4,605.36

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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.