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Finding the Fourth Proportional to 4,737.72, 6,530.22 and 3,165.24

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Solution

The fourth proportional to 4,737.72, 6,530.22 and 3,165.24 is: 4,362.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737.72 : 6,530.22 = 3,165.24 : x
  2. Step 2: Convert to fraction form
    4,737.72/6,530.22 = 3,165.24/x
  3. Step 3: Cross multiply
    4,737.72x = 6,530.22 × 3,165.24
  4. Step 4: Simplify right side
    4,737.72x = 20,669,713.55
  5. Step 5: Solve for x
    x = 20,669,713.55/4,737.72
  6. Step 6: Final answer
    x = 4,362.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.