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Finding the Fourth Proportional to 6,000.12, 9,000.05 and 5,836.10

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Solution

The fourth proportional to 6,000.12, 9,000.05 and 5,836.10 is: 8,754.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,000.12 : 9,000.05 = 5,836.10 : x
  2. Step 2: Convert to fraction form
    6,000.12/9,000.05 = 5,836.10/x
  3. Step 3: Cross multiply
    6,000.12x = 9,000.05 × 5,836.10
  4. Step 4: Simplify right side
    6,000.12x = 52,525,117.62
  5. Step 5: Solve for x
    x = 52,525,117.62/6,000.12
  6. Step 6: Final answer
    x = 8,754.01

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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.