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Finding the Fourth Proportional to 5,362.72, 8,043 and 1,467.20

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Solution

The fourth proportional to 5,362.72, 8,043 and 1,467.20 is: 2,200.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,362.72 : 8,043 = 1,467.20 : x
  2. Step 2: Convert to fraction form
    5,362.72/8,043 = 1,467.20/x
  3. Step 3: Cross multiply
    5,362.72x = 8,043 × 1,467.20
  4. Step 4: Simplify right side
    5,362.72x = 11,800,689.60
  5. Step 5: Solve for x
    x = 11,800,689.60/5,362.72
  6. Step 6: Final answer
    x = 2,200.50

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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.