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Finding the Fourth Proportional to 9,000.10, 13,500.15 and 3,157.30

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Solution

The fourth proportional to 9,000.10, 13,500.15 and 3,157.30 is: 4,735.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,000.10 : 13,500.15 = 3,157.30 : x
  2. Step 2: Convert to fraction form
    9,000.10/13,500.15 = 3,157.30/x
  3. Step 3: Cross multiply
    9,000.10x = 13,500.15 × 3,157.30
  4. Step 4: Simplify right side
    9,000.10x = 42,624,023.60
  5. Step 5: Solve for x
    x = 42,624,023.60/9,000.10
  6. Step 6: Final answer
    x = 4,735.95

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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.