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Finding the Fourth Proportional to 4,737.56, 7,106.34 and 1,450.62

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Solution

The fourth proportional to 4,737.56, 7,106.34 and 1,450.62 is: 2,175.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737.56 : 7,106.34 = 1,450.62 : x
  2. Step 2: Convert to fraction form
    4,737.56/7,106.34 = 1,450.62/x
  3. Step 3: Cross multiply
    4,737.56x = 7,106.34 × 1,450.62
  4. Step 4: Simplify right side
    4,737.56x = 10,308,598.93
  5. Step 5: Solve for x
    x = 10,308,598.93/4,737.56
  6. Step 6: Final answer
    x = 2,175.93

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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.