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Finding the Fourth Proportional to 4,662.40, 6,987.42 and 1,737.76

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Solution

The fourth proportional to 4,662.40, 6,987.42 and 1,737.76 is: 2,604.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.40 : 6,987.42 = 1,737.76 : x
  2. Step 2: Convert to fraction form
    4,662.40/6,987.42 = 1,737.76/x
  3. Step 3: Cross multiply
    4,662.40x = 6,987.42 × 1,737.76
  4. Step 4: Simplify right side
    4,662.40x = 12,142,458.98
  5. Step 5: Solve for x
    x = 12,142,458.98/4,662.40
  6. Step 6: Final answer
    x = 2,604.34

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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.