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Finding the Fourth Proportional to 4,662.28, 6,987.20 and 1,737.64

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Solution

The fourth proportional to 4,662.28, 6,987.20 and 1,737.64 is: 2,604.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.28 : 6,987.20 = 1,737.64 : x
  2. Step 2: Convert to fraction form
    4,662.28/6,987.20 = 1,737.64/x
  3. Step 3: Cross multiply
    4,662.28x = 6,987.20 × 1,737.64
  4. Step 4: Simplify right side
    4,662.28x = 12,141,203.27
  5. Step 5: Solve for x
    x = 12,141,203.27/4,662.28
  6. Step 6: Final answer
    x = 2,604.14

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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.