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Finding the Fourth Proportional to 9,000.40, 13,500.60 and 6,226.30

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Solution

The fourth proportional to 9,000.40, 13,500.60 and 6,226.30 is: 9,339.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,000.40 : 13,500.60 = 6,226.30 : x
  2. Step 2: Convert to fraction form
    9,000.40/13,500.60 = 6,226.30/x
  3. Step 3: Cross multiply
    9,000.40x = 13,500.60 × 6,226.30
  4. Step 4: Simplify right side
    9,000.40x = 84,058,785.78
  5. Step 5: Solve for x
    x = 84,058,785.78/9,000.40
  6. Step 6: Final answer
    x = 9,339.45

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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.